Question

Graph the direct variation y=−1.5x. Find the value of x when y= −3; 4.5; 6

When y = −3, x =
When y = 4.5, x =
When y = 6, x =

Answer 1

Answer: When y = −3, x =2

When y = 4.5, x =-3

When y = 6, x = -4

Explanation:

Given equation:
`y=-1.5x`

To find x divide both sides by -1.5 , we get

`x=(y)/(-1.5)`

When y = −3,
`x=(-3)/(-1.5)\\\Rightarrow\ x=2`

When y = 4.5,
`x=(4.5)/(-1.5)\\\Rightarrow\ x=-3`

When y = 6,
`x=(6)/(-1.5)\\\Rightarrow\ x=-4`

So we have points to plot the line to show direct variation on graph as below.

(2,-3), (-3,4.5) and (-4,6)