Question

Given this equation what is the value of x at the indicated point?(image)

Answer 1

`x=-2`

Explanation:

The equation
`y=(7)/(2)x+3` tells us that, to find y, we must multiply x by
`(7)/(2)` and then add 3. Here, we are given the y value. We simply must plug in y and solve for x.

We are given: the equation
`y=(7)/(2)x+3`, and
`y=-4`

So, we have:

`y=(7)/(2)x+3 =\\\\-4 =(7)/(2)x+3`

Solve for the variable x.

`-4=(7)/(2)x+3=\\\\\\-7 = (7)/(2)x =\\-14 = 7x=\\-2 = x`

Therefore, when y is equal to -4, x is equal to -2.