Question

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

Answer 1

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.

Answer 2

We want to find the graph of the linear equation y = -3*x - 2.

Sadly, the options are not given, but you can see the graph at the end of the answer.

To get the graph of a linear equation, we need to see two things.

When x = 0, we have:

y = -3*0 -2

y = -2

This means that the line intersects the x-axis at y = -2

We now need to evaluate the line in other value of x to get another point on the line, for example if we use x = 1 we get:

y = -3*1 - 2 = -5

Then we have the points (0, -2) and (1, - 5)

Now we can just graph these two points and draw a line that connects them, that is the graph of our line, that you can see below.

If you want to learn more, you can read:

https://brainly.com/question/20286983