Write the equation of the line that passes through the given points. (0,3) (-4,-2)

Answer 1

Use two-point form

((y - 3) / (x - 0) = (-2 - 3) / (-4 - 0)

Answer 2

The equation of a line you will be using most often is y = mx + b

All of these types of "find the equation of the line given..." problems boil down to finding the m (slope) and b (y-intercept).

One of the given points is (0,3), which represents the y-intercept. Therefore, b = 3.

Now find m by applying the slope formula, m = y2 - y1 / x2 - x1 = (-2 - 3) / (-4 - 0) = 5/4.

So now that we have m = 5/4 and b = 3, we can simply plug it into the slope-intercept equation in the first line to get the answer:

y = (5/4)x + 3