Question

What equation in slope intercept form represents the line that passes through the two points?

Answer 1

Answer:

$y = -9x +52$

Step-by-step explanation:

Given

$(x_1.y_1) = (5,7)$

$(x_2,y_2) = (6,-2)$

Required

Determine the equation in slope intercept form

First, we calculate the slope of the line:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

This gives:

$m = \frac{7 - (-2)}{5 - 6}$

$m = \frac{7 +2}{-1}$

$m = \frac{9}{-1}$

$m = -9$

Th equation is then calculated using:

$y - y_1 = m(x - x_1)$

This gives:

$y - 7 = -9(x - 5)$

Open bracket

$y - 7 = -9x +45$

Make y the subject

$y = -9x +45+7$

$y = -9x +52$