Question

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

Answer 1

Please see attached graph

Explanation:

You can analyse this line by understanding what are the line's x and y intercepts (where it crosses the x and the y axes). And then try to identify between any graph given, the one that has those two crossings (like the attached graph)

To find the point where the line crosses the x-axis, we find for which x-value, y becomes zero:

`-24 (0)=3x+24\\0=3x+24\\-24=3x\\-8=x`

This means that the point where the line crosses the x axis is at (-8, 0) in the coordinate plane.

Now, to find where the line crosses the y axis (y intercept), we solve for y when x= zero:

`-24 y=3(0)+24\\-24 \,y=24\\y=-1`

Therefore the y-intercept is the point (0, -1)

By joining such two points, we find the line depicted in blue in the attached image. This is a line with negative slope.