Question

Write the equation of the line passing through the points (0, -4) and (-2, 2).

Answer 1

Do you know formula of a line?

Answer 2

no

Answer 3

Find the slope. Determine how y changes from one point to the next point, and do the same for x. So the slope is the ratio of the y change and the x change, or

change in y / change in x

Points (0, -4) and (2, -2).

The y changes from -4 to -2, this means y changed + 2.

The x changes from 0 to 2, this means x changed + 2.

change in y / change in x = +2 / +2

the slope is +2 / +2, or just m = 1.

Slope intercept form is

y = mx + b

where m is the slope. We know that m = 1.

y = 1x + b

y = x + b

So what is b? Let us use a point to find it.

(0, -4) is a point (x, y) on the line. Let us use that.

y = x + b

(-4) = (0) + b

b = -4

y = x + b

y = x - 4