What are the coordinates of the point at which the line passing through the points
(1, -3) and (-2, 4) intersects the y-axis?

Question

What are the coordinates of the point at which the line passing through the points
(1, -3) and (-2, 4) intersects the y-axis?

popitree · Answer

0,4

anonymous · Answer

How do u do this though?

anonymous · Answer

And  the answer is (0,-2/3), I want to know how to get to that answer with showing work.

popitree · Answer

ya while calculating verbally i missed, let me explain..
equation of a straight line , y = mx+c; where m is slope and c is the intercept on y axis.

now m = (y2-y1))/(x2-x1)
so m = -7/3
y = -7/3x +c,

now put any x,y combination on the equation and solve for c, it will come as -2/3