Question

Consider the equation 1.5x + 4.5y = 18

Answer 1

Answer:

D. -1/3

Step-by-step explanation:

The given equation is 1.5·x + 4.5·y = 8

The slope of the graph of the equation can be found by presenting the equation in slope and intercept form, y = m·x + c,

Where;

m = The slope

c = The y-intercept

We have as follows;

1.5·x + 4.5·y = 8

4.5·y = 8 - 1.5·x

∴ y = 8/4.5 - 1.5/4.5·x = 16/9 - 1/3·x

y = 16/9 - 1/3·x

Comparing with the general form of a linear equation given in slope and intercept form, y = m·x + c, we have;

y = 16/9 - 1/3·x =  -1/3·x + 16/9

Therefore;

m = -1/3

c = 16/9

Therefore, the slope of the graph = -1/3.