Question

Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.

(0,2),(-4,-4)

Answer 1

Slope intercept form of the line is

y=mx +b.

m is a slope.

m=(y2 -y1)/(x2 - x1)=(2-(-4))/(0-(-4))=6/4=3/2

m=3/2

y=(3/2)x + b

To find y-intercept, we are going to use point (0,2) and equation y=(3/2)x + b.

2=(3/2)*0 + b,

b = 2.

Actually point (0,2) already is a y-intercept, because it has x=0.

Answer is y=(3/2)x + 2.

Answer 2

check the picture below. for the pre-edition version.

as for the edition above

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