Question

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

Answer 1

Answer:

it is b

Explanation:

Answer 2

The equation of line t is $7x-y=23$

Equation of line :

Given that , A line passing through two points $(0,3),(7,2)$

Slope of line is,

                   $m=\frac{2-3}{7-0}=-\frac{1}{7}$

Since, line $t$ and given line are perpendicular to each other.

Slope of line $t$ is, $=7$

Equation of line $t$ is, $y=7x+c$

Line $t$ passes through $(4, 5)$

Substitute point in equation of line $t$.

             $5=28+c\\\\c=-23$

Equation of line $t$ become, $y=7x-23$

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