Answer:
Slope = 3/4
y-intercept = (0, 4)
Given:
[tex]6x-8y=-32[/tex]We will rewrite this in its slope-intercept form by isolating y.
[tex]\begin{gathered} 6x-8y=-32 \\ -8y=-6x-32 \\ y=\frac{-6x}{-8}-\frac{32}{-8} \\ y=\frac{3}{4}x+4 \end{gathered}[/tex]Our equation is now in its slope-intercept form y=mx+b, where:
m = slope
b = y-intercept
From our equation, we now know that our slope is 3/4.
The y-intercept is the value of y when x = 0, with this, since our y-intercept(b) is 4, this would mean that our y-intercept in the ordered pair is (0, 4).
