Question

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

Answer 1

y = 5x - 8

Explanation:

Find the slope of the line using the two points.

The equation for the slope of a line is

`m= (y_(2) - y_(1) )/(x_(2)-x_(1) )`

`m= (-13-12)/(-1-4)`

`m= (-13-12)/(-1-4)`

`m= (-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.