What is the equation of the line through (2,-4) and (0,4)

Before we solve this question, recall the equation of a line, 'y = mx + b' In this, 'm' represents slope and 'b' represents y-intercept.

Let's start with the slope first. In order to solve for the slope, we have to use the equation (y2 - y1)/(x2 - x1)

Input the values:
m = (4 - (-4))/(0 - 2)
m = 8/-2
m = -4

Now we have the first bit of the equation:
y = -4x + b

In y-intercepts, the coordinates always have x as 0. Knowing this, we know that (0, 4) is the y-intercept of the line.

Input this into the equation:
y = -4x + 4

-T.B.