Aline 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!

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

Your answer should be 1/3. i hope i could ! good luck : )