Question

Choose the best graph that represents the linear equation -24y = 3x + 24

Answer 1

Explanation:

Given equation is
`-24y = 3x + 24`.

Now we need to graph that given equation
`-24y = 3x + 24` to see which of the given choices best matches with the graph.

First let's solve the equation for y

`-24y = 3x + 24`

`y=(3x)/(-24)+(24)/(-24)`

`y=-(1)/(8)x-1`

Now compare it with
`y=mx+b`, we get:

y-intercept b=-1 and slope
`m=-(1)/(8)`

y-intercept is always graphed first so mark a point at (0,-1).

Then due to negative slope go down by 1 unit then 8 unit right. It will reach the new point (8,-2).

Now joint both points by a straight line to get the final graph as shown below.