Question

Graph a line with a slope of 3/4 that contains the point (2, -3)

Answer 1

Im assuming this is one of those things that you move the dots around and the line goes with it...?

you would want to put one of the dots on the point (2,-3) because that needs to be on the line, then you put the other dot 3 units up and 4 units over from that which would be at (5,1) because that's the slope specified

Answer 2

The graph of the line is in the image at the end.

How to graph the line?

To graph any line, we need to find two points in the line. Then we can plot the points, and then we can draw a line that passes trhough both of the points.

Here we know that we have (2, -3), and a slope of (3/4).

Then the equation of the line is:

y + 3 = (3/4)*(x - 2)

We already know one of the points, let's evaluate the equation to get the other.

if x = 0, we get:

y+ 3 = (3/4)*-2

y = -3/2 + 3

y = 3/2

So we have (0, 3/2)

Now plot the two known points and draw a line that passes through both of them, you will get a graph like the one below.