Question

Complete the point-slope equation of the line through (8,-8)(8,−8)left parenthesis, 8, comma, minus, 8, right parenthesis and (9,8)(9,8)left parenthesis, 9, comma, 8, right parenthesis.

Answer 1

Answer:

Point-slope equation of line is given by:

$y-8=16(x-9)$

Step-by-step explanation:

Given points:

$(8,-8)\ and\ (9,8)$

Point-slope equation of line is given by:

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

Where $(x_1,y_1)$ is a point on the line and $m$ is slope of line.

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

$m=\frac{8-(-8)}{9-8}$

$m=\frac{8+8}{1}$

$m=16$

Using point $(9,8)$ and slope $m=16$  point-slope equation of line is given by:

$y-8=16(x-9)$