Answer
slope=-9
y-intercept=-15
Work Step by Step
To find the slope and the y-intercept of the graph of the equation
-2y=6(5-3x), we need to rewrite the equation in slope-intercept form, or y=mx+b form, where m represents the slope and b represents the y-intercept. To do this we first apply the distributive property which state that a(b-c)=ab-ac) to the right side of the equation, to get the equation
-2y=(6)(5)-(6)(-3x)
-2y=30+18x
Then, to solve for y in terms of x, we divide both sides of the equation by -2 to get
$\frac{-2y}{-2}$=$\frac{30+18x}{-2}$
y=-15-9x
y=-9x-15
Therefore, m=-9 and b=-15
