Question

Write an equation, in slope-intercept form,

for a line that passes through points (-4, 1)
and (2. 4).

Answer 1

y = (3/2)x + 7

Explanation:

(−4, 1) and (−2, 4)

slope m = rise/run = (4-1)/(-2-(-4)) = 3/2

Slope intercept form is y=mx+b

where m=slope, b = y-inercept

y = (3/2)x + b

Use one of the given points for (x,y) to find b

1 = (3/2)(-4) + b

1 = -6 + b

7 = b

y = (3/2)x + 7