Question

Write the equation of the line that passes through the points (8, -4) and (-2,5).

Answer 1

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given the points

• (8, -4) and (-2, 5)

The slope between two points

$m=\frac{5-\left(-4\right)}{-2-8}$

$m=-\frac{9}{10}$

As the point-slope form is

$y-y_1=m\left(x-x_1\right)$

substituting the values m = -9/10 and (8, -4)

$y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)$

Writing the line equation in the slope-intercept form

$y=mx+b$

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form will be:

$y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)$

$y+4=-\frac{9}{10}\left(x-8\right)$

subtract 4 from both sides

$y+4-4=-\frac{9}{10}\left(x-8\right)-4$

$y=-\frac{9}{10}x+\frac{16}{5}$

Therefore, the equation in the slope-intercept form will be:

$y=-\frac{9}{10}x+\frac{16}{5}$