Question

Write an equation in slope-intercept form using the two points

(1,1) and (-5,3)

Please explain the steps on how to solve this!!!!

Answer 1

To find the slope you want to use the formula:

m = y2–y1/x2–x1
m = (3–1)/(-5–1)
m = 2/-6

To find the y-intercept:
Substitute the y part of the point and solve for b

Y = mx + b
1 = (2/-6) + b
1–(2/-6) = (2/-6) – (2/-6) + b
4/3 = b

Slope-intercept form is:
Substitute in slope and y-intercept

Y = mx + b
Y = 2/-6x + 4/3