Question

What is the slope intercept form for a line that passes through the (4, -7) and has a sloop of -5 over four

Answer 1

Slope intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (when x = 0)

You know that the slope = $\frac{-5}{4}$, so you can plug it in:

y = mx + b

$y = \frac{-5}{4}x+b$

To find "b", you plug in the point (4, -7) into the equation.

$y = \frac{-5}{4}x+b$

$-7=\frac{-5}{4}(4)+ b$

-7 = -5 + b  Add 5 on both sides

-2 = b

Your equation is:

$y = \frac{-5}{4}x - 2$