how do i find an equation for a line with an x-intercept of 4 and a y-intercept of -2

Answers

Answer 1

Answer:

The equation of a line is y = ax + b, where a is the slope and b is the y-intercept.  

Since we have the y-intercept, all we need to do is find the slope. To find the slope, you need 2 coordinates.

The y-intercept is where the line crosses the y axis, so it is where x is 0. Since the y intercept is -2, that means the first coordinate is (0, -2)

The x-intercept is where the line crosses the x axis, so it is where y is 0. Since the x intercept is 4, that means the second coordinate is (4, 0)

Since we already have the y-intercept, all we do is put the slope in the equation: y = 1/2x - 2.

Step-by-step explanation:


Related Questions

Andre types 208 words in 4 minutes. Noah typed 342 words in 6 minutes
A) Who typed faster
B) How many words can andre type in 10 minutes
C)Would you find the unit rate of words per minute or the unit rate of minutes per word to
figure out how long it would take Noah to write 1710 words? Why? (You do not need to
solve, just choose and explain why).

Answers

Answer:

Noah types faster because he can type more words per minute.

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.

Jacob paid $89.59 for a portable e-book reader plus 9% tax. What is the cost of the
e-book reader including tax?

Answers

Answer:

$97.65

Step-by-step explanation:

$89.59 + $8.06 = $97.65

A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.

Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.

Answers

Answer:

Area of the shaded portion = 54.5 cm²

Step-by-step explanation:

Solve first for the area of the circle:

[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]

Then, compute for the area of the triangle:

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]

Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle

[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]

Which of the following is equivalent to the image below

A: 6
B: 8
C: 12
D: 64

Answers

Answer: The answer is 8

Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.

Round to the nearest hundredth O(5x + 2) = 2(9x - 6) Type your answer...​

Answers

Answer:

Solving the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]

Step-by-step explanation:

We need to solve the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex]

Solving:

[tex]0(5x+2)=2(9x-6)[/tex]

We know that multiplying anything by zero we get zero

[tex]0=2(9x-6)[/tex]

Switching sides

[tex]2(9x-6)=0[/tex]

Multiplying 2 with terms inside the bracket

[tex]18x-12=0[/tex]

Adding 12 on both sides

[tex]18x-12+12=0+12\\18x=12[/tex]

Divide both sides by 18

[tex]\frac{18x}{18}=\frac{12}{18}\\x=0.666[/tex]

Rounding to nearest hundredth we get:

[tex]x=0.67[/tex]

So, solving the expression and round to the nearest hundredth

[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]

PLS PLS HELP ME I WILL GIVE BRAINLIST AND SO MANY POINTS PLS HELP ME

Answers

Answer:

Both are circle equations. One is for area, one is for circumference.

Step-by-step explanation:

Both are circle equations. One is for area, one is for circumference.

I need the equation that passes through the point

Answers

Answer:

y=4/3x+0

Step-by-step explanation:

slope intercept form works right?

y=mx+b

the m is the slope, and the problem gives us the slope. (4/3)

the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b

HTH!!

what is 8 x 23
+ 6
3 + 2

Answers

Answer:

8x23 +6+3+2 = 195

Step-by-step explanation:

used PEMDAS <3 hope this helps

195 would be your answer i’m pretty sure

The area of a rectangle is 1,872 ft2. The ratio of the length to the width is 9:13. Find the perimeter of the rectangle. A. 88 ft B. 117 ft C. 168 ft D. 176 ft

Answers

Answer:

Length = 36

Width = 52

Step-by-step explanation:

Area of rectangle = Length * width

Length = L ; Width = W

Area (A) = 1872 ft²

Ratio L:W = 9:13

Hence,

1872 = lw - - - (1)

l/w = 9/13 - - - (2)

From (2)

13l = 9w

l = (9/13)w - - (3)

Put (3) into (1)

1872 = (9/13)w * w

1872 = 9/13 w²

24336 = 9w²

24336 / 9 = w²

2704 = w²

w = 52

If w = 52

1872 = 52 * l

l = 1872 / 52

l = 36

Length = 36

Width = 52

Which number is equivalent to?

Answers

So, we have 2^3/3^3
= 2^3/3^3 = 2 times 2 times 2/3 times 3 times 3
= 8/27
So, in conclusion, the final answer is 8/27 so, you should go with D 100%!

??????????????????????????????

Answers

Priya

Add not divide

MATH PLSS (I'LL TRY TO GIVE BRAINLIEST)

Answers

Answer:

b

Step-by-step explanation:

the first graph: use the points (0,1) and (4,2) to get a slope of 1/4

function b's slope is 3/4, clearly greater. so B

Well, the answer to this question is function B

Helppppp pleaseeeeee

Answers

Answer:

B) y=3 (x+3) -2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.

Answers

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

helpppp!! right answer only pleaseee

Answers

Answer:

linear equation

Step-by-step explanation:

it's the only one that matches the description :)

The answer to this is linear equations hope this helps you

HELp please!!!!!!!!!!!!!!!!!!!!!!11

Answers

Answer:

it’s 15x+30y-220

Step-by-step explanation:

Because you distribute and then you add the like terms

James drove to the lake and back the trip there took four hours and the trip back took six hours he average 20 mph faster on the trip there on on the return tip find Jameses average speed on the trip

Answers

Answer: 60 mph

Step-by-step explanation:

Question wants the speed to the lake.

It took James 4 hours to get to the lake and he drove at a speed 20 mph faster than when he came back.

It took him 6 hours to come back.

Assuming the speed James used on the return trip is x:

Expression for distance is:

4(x + 20) = 6x

4x + 80 = 6x

2x = 80

x = 80/2

x = 40 mph

Speed to the lake = 40 + 20

= 60 mph

(2x10^5) divided by (4x10^2)

Answers

Answer:

[tex]\huge\boxed{0.5\times10^3=0.5\times1,000=500}[/tex]

Step-by-step explanation:

[tex](2\times10^5)\div(4\times10^2)=\dfrac{2}{4}\times\dfrac{10^5}{10^2}\\\\\text{use}\ \dfrac{a^n}{a^m}=a^{n-m};\ a\neq0\\\\=0.5\times10^{5-2}=0.5\times10^3=0.5\times1,000=500[/tex]

plz answer only if correct!!

Answers

Angle a is 55 X is -12

a bus traveled for 540 miles in 12 hours. was it traveling at a faster or slower rate than the car? show your work to explain

Answers

how fast is the car going??? cuz the bus is going 45 mph

Answer:

It is at 45. So you need to determine is it faster of slower. You didn't put the whole question.

Step-by-step explanation:

Max is building a treehouse. He has a piece of wood that is 6 ft long. How many 1/3 ft pieces of wood can you cut

Answers

Answer:

18 pieces

Step-by-step explanation:

Max is building a treehouse. He has a piece of wood that is 6 ft long. How many 1/3 ft pieces of wood can you cut?

From the above question, we can deduce that:

1 piece of wood = 1/3ft

Hence:

1/3 = 1 piece of wood

6 ft = x

Cross Multiply

1/3ft × x = 6 ft × 1

x = 6 / 1/3

x = 6 × 3

x = 18 pieces

Hence, you can cut 18 (1/3 ft )pieces of wood .

A mouse ran a 360 centimeters course in 9 seconds , how fast did it run ?

Answers

Answer:

r=d/t

r=360 cm / 9 sec= 40 cm per second

Hope that helps :)

Answer:

40 centimeters per second.

Step-by-step explanation:

360 divided by 9= 40

ChIcKeN nUgGeTs :>

Mr. Demers is making a drink by adding flavor drops to his water. If he puts 3 drops in a 12 ounce glass of water, how many ounces does he use PER DROP?

Answers

Answer:

Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop

Answer: 4 ounces per drop

=======================================================

Explanation:

"Per drop" means "per 1 drop" or "for each 1 drop".

We start off with the ratio of

3 drops: 12 ounces

Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"

Doing so gets us the new ratio of

1 drop: 4 ounces

So he uses 4 ounces per drop.

Evaluate each expression

1-(-8)

Answers

1-(-8)
1+8 (add a line change the sign)
=9

Identify the constant of proportionality from the table.

Answers

It’s A. 9 the equation is y=9x+0

Answer:

A. 9

Step-by-step explanation:

A P E X

Which of the following tables represents a function?

Answers

Answer:

The third table

Step-by-step explanation:

It's the third table because each input does not repeat, so it means all of the inputs are unique

Repeating inputs (x) make it not a function

As their is no mention of test assuming it's not a test question

Solution

Now

As per definition of function

Every domain has an unique rangef(x)=y

Thing we have to see here is x values must not repeated more than once

In table 3

It follows the defination

Table 3 is a function

solve each inequality and graph the solution .

2x-8<4

Answers

Answer:

inequality is x < 6

Step-by-step explanation:

what is the ordered pair to y=7x-2

Answers

It would be (0,-2) I believe

The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

Answers

Answer:

[tex]S_g= 33.333cm[/tex]

Step-by-step explanation:

From the question we are told that

Arc of 30 cm

10% reduction after each swing

Generally sum of geometric sequence is given by the equation

    [tex]S_g=\frac{a(1-r^n)}{1-r}[/tex]

Mathematically solving for total distance traveled we have

    [tex]S_g=\frac{30(1-(0.10^5)}{1-(0.10)}[/tex]

    [tex]S_g=\frac{30}{0.9}[/tex]

Therefore the total distance traveled  by the pendulum after 5 swings

    [tex]S_g= 33.333cm[/tex]

Can anyone help solve this?

Answers

Answer: m∠XYQ = 122°

Step-by-step explanation:

m∠XYQ + m∠QYZ = 180°

(10a + 2) + (5a - 2) = 180

15a = 180

a = 12

m∠XYQ = 10a + 2

m∠XYQ = 10 (12) + 2 = 122

m∠XYQ = 122°

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