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 =
`(-5)/(4)`, so you can plug it in:

y = mx + b

`y = (-5)/(4)x+b`

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

`y = (-5)/(4)x+b`

`-7=(-5)/(4)(4)+ b`

-7 = -5 + b Add 5 on both sides

-2 = b

Your equation is:

`y = (-5)/(4)x - 2`