Question

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

Answer 1

Answer:

Step-by-step 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

$-24y = 3x + 24$

$y=\frac{3x}{-24}+\frac{24}{-24}$

$y=-\frac{1}{8}x-1$

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

y-intercept b=-1 and slope $m=-\frac{1}{8}$

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.