Question

Slope intercept equation for (0,-4) and (4,1)

Answer 1

Answer:

y    = (5/4)x - 4

Step-by-step explanation:

As we move from (0, -4) to (4, 1), x increases by 4 and y increases by 5.

Thus, the slope of the line segment connecting these two points is

m = rise / run = 5/4.

Subbing these knowns into the point-slope formula for the equation of a straight line, we get:

y - 1 = (5/4)(x - 4), or

y     = (5/4)x - 5 + 1, or

y    = (5/4)x - 4

Let's check this out.  Determine whether or not (0, -4) satisfies the equation:

-4 = (5/4)(0) - 4

Yes, this is true; the equation is correct.