Line t passes through (4, 5) and is perpendicular to the line shown on the coordinate grid.

a coordinate plane with a line passing through two points at 0 comma 3 and 7 comma 2

What is the equation of line t in standard form?

x − 7y = −161
7x − y = 23
−7x − y = 23
x + 7y = 161

Answers

Answer 1

Answer:

it is b

Explanation:

Answer 2

The equation of line t is [tex]7x-y=23[/tex]

Equation of line :

Given that , A line passing through two points [tex](0,3),(7,2)[/tex]

Slope of line is,

                   [tex]m=\frac{2-3}{7-0}=-\frac{1}{7}[/tex]

Since, line [tex]t[/tex] and given line are perpendicular to each other.

Slope of line [tex]t[/tex] is, [tex]=7[/tex]

Equation of line [tex]t[/tex] is, [tex]y=7x+c[/tex]

Line [tex]t[/tex] passes through [tex](4, 5)[/tex]

Substitute point in equation of line [tex]t[/tex].

             [tex]5=28+c\\\\c=-23[/tex]

Equation of line [tex]t[/tex] become, [tex]y=7x-23[/tex]

Learn more about the slope of line here:

https://brainly.com/question/3493733


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