Slope intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (when x = 0)
You know that the slope = [tex]\frac{-5}{4}[/tex], so you can plug it in:
y = mx + b
[tex]y = \frac{-5}{4}x+b[/tex]
To find "b", you plug in the point (4, -7) into the equation.
[tex]y = \frac{-5}{4}x+b[/tex]
[tex]-7=\frac{-5}{4}(4)+ b[/tex]
-7 = -5 + b Add 5 on both sides
-2 = b
Your equation is:
[tex]y = \frac{-5}{4}x - 2[/tex]
