Answer:
Step-by-step explanation:
Given equation is [tex]-24y = 3x + 24[/tex].
Now we need to graph that given equation [tex]-24y = 3x + 24[/tex] to see which of the given choices best matches with the graph.
First let's solve the equation for y
[tex]-24y = 3x + 24[/tex]
[tex]y=\frac{3x}{-24}+\frac{24}{-24}[/tex]
[tex]y=-\frac{1}{8}x-1[/tex]
Now compare it with [tex]y=mx+b[/tex], we get:
y-intercept b=-1 and slope [tex]m=-\frac{1}{8}[/tex]
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.
