Question

A line is drawn through the points (-2, 6) and (-4, -2). What is the y-coordinate of the point where this line intersects the y-axis? Pls explain!

Answer 1

14

Explanation:

Answer 2

The y intercept is 14.

We can get this by solving for the line using the points given. First we need to find the slope.

m(slope) = y1 - y2/x1 - x2
m = 6 - - 2/-2 - -4
m = 8/2
m = 4

Then we can find the y-intercept using slope intercept form with either given point and our newly found slope.

y=mx + b
6 = 4(-2) + b
6 = -8 + b
14 = b