Question

Which of the following could be the graph of the line y=-3x-2?

Answer 1

The graph would match with the line crossing the Y axis at -2 and going toward the bottom right in a steep way. Down 3 boxes and right one box.

Answer 2

Answer:

Graph in picture. I hope it helps.

Step-by-step explanation:

y=mx+b is slope-intercept form of a line with slope,m, and y-intercept ,b.

y=-3x-2 is in the form y=mx+b where m=-3 and b=-2.

So the slope is -3 and the y-intercept is -2.

Since the slope is negative, we are looking for a line that is decreasing (left to right).

Since the y-intercept is negative, we are looking for a graph that intersects the y-axis below the x-axis.

Let's look for more details.

So you are looking for a graph that goes through -2 on the y-axis.

From there you are looking for another point on the line that is 3 units down and 1 unit right since the slope is -3 or -3/1.

(Slope is rise/run).

I will draw a graph of what we are looking for.