slope is 4/3
y-intercept is -3
Explanation:[tex]4x\text{ - 3y = 9}[/tex]Using equation of line:
[tex]\begin{gathered} y\text{ = mx + b} \\ m\text{ = slope} \\ b\text{ = y-intercept} \end{gathered}[/tex]The given equation is not in the form of the equatiion above, so rewrite:
4x - 3y = 9
4x = 3y + 9
4x - 9 = 3y
4x/3 - 9/3 = 3y/3
4x/3 - 3 = y
y = 4x/3 - 3
So we can compare now
We compare both equations:
[tex]\begin{gathered} y\text{ = y} \\ mx\text{ = }\frac{4}{3}x \\ m\text{ = 4/3} \\ b\text{ = -3} \end{gathered}[/tex]Hence, slope is 4/3
y-intercept is -3
