Question

What is the slope of 1.5x+4.5y=18

Answer 1

The x intercept is (12,0)

Explanation:

1.5x+4.5y=18 Subtract 1.5 x from both sides of the equation

4.5y=-1.5x+18 Divide both sides of the equation by 4.5

4.5y/4.5=-1.5x/4.5+18/4.5

y=-1/3x+4

The slope is -1/3

The y intercept is (0,4)

To find the x intercept, yet y=0 and solve.

1.5x+4.5y=18

1.5x+4.5(0)=18

1.5x=18 Divide both sides of the equation by 1.5

1.5x/1.5=18/1.5

x=12

Answer 2

The slope is 1/3. You subtract 1.5x on both sides and you are left with 4.5y = 18-1.5x. Then you divide by 4.5 on both sides and you get y=4-1/3x. The slope is always the number multiplied by x.