Question

Find a solution to the linear equation y=−4x+36 by filling in the boxes with a valid value of x and y.

Answer 1

A solution would be:

`(1,32)`

Explanation:

This is a linear equation written in Slope-Intercept form. Recall that this form, in general, is written as follows:

`y=mx+b \\ \\ \\ Where: \\ \\ m:slope \\ \\ b:y-intercept`

In this case, we have the following equation:

`y=-4x+36 \\ \\ \\ Where: \\ \\ m=-4 \\ \\ b=36`

In order to find a solution, let's set
`x=1`, so the y-value will be:

`y=-4(1)+36 \\ \\ y=-4+36 \\ \\ y=32`

So, a solution to the linear equation is the point
`(1,32)`