what is the slope of the line passes through the points (-3, -3) and (-5, -2) in simplest form help me

Answer:

Slope, [tex]m=\dfrac{-1}{2}[/tex]

Step-by-step explanation:

We need to find the slope of the line passes through the points (-3, -3) and (-5, -2).

The formula for the slope of a line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = -3, y₁ = -3, x₂ =-5 and y₂ = -2

So,

[tex]m=\dfrac{-2-(-3)}{-5-(-3)}\\\\m=\dfrac{-1}{2}[/tex]

So, the slope of the line is [tex]\dfrac{-1}{2}[/tex].

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Lesson 3.3T - Calculating Slope from Graphs
Name
Period
Date
Sketch a line that has the given slope.
1. Positive Slope
2. Negative Slope
3. Zero Slope
4. Undefined Slope
Itt
Draw a slope triangle for each line (when possible) and give the slope. Remember to designate
if slope is positive or negative.
5.
6.
Remember
that slope is
rise over run.
SLOPE =
SLOPE =
8.
2
4-3
.
-2
SLOPE
SLOPE =
EdGems Core - Course 3
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Lesson 3.3 - Calculating Slope from Graphs