Question

Write the equation in slope-intercept form of the line passing through the points ​(4​, 12​) and ​(- 1​, - 13​).

Answer 1

Answer:

y = 5x - 8

Step-by-step explanation:

Find the slope of the line using the two points.

The equation for the slope of a line is

$m= \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$

$m= \frac{-13-12}{-1-4}$

$m= \frac{-13-12}{-1-4}$

$m= \frac{-25}{-5}$

$m= 5$

Substitute m=5 and point (4,12) into the equation of a line

y = mx + b

12 = 5(4) + b

12 = 20 + b

Isolate b

b = 12 - 20

b = -8

Substitute b=-8 and m=5 into the equation of a line

y = mx + b

y = 5x - 8

The equation of a line in slope-intercept form is y=5x-8.