Graphing slope

Graphing slope is the goal of this lesson. We will show you here how easy the process is using the slope and any point given. 

A couple of examples showing how graphing slope works


Example #1:

Given a point of (1, 2) and a slope of 5/2, graph the slope of the line.

First, we need to locate the point (1, 2) and put it on the coordinate system.

We show the point (1, 2) with a blue dot in the figure below.

Then, from that point, you will need to show a slope of 5/2

Graphing slope

Using the slope of 5/2, we see that 5 is the rise and 2 is the run or horizontal distance.

Now, starting at the point (1,2) or the blue dot, draw a rise of 5. In other words, count 5 units straight up as you draw a line. You will end up at the point (1,7) after you are done.

Graphing slope

Now, starting at point (1,7), draw a run of 2 or count 2 units horizontally as you draw a line. You will end up at the point (3,7) once you are done doing this.

Recall that when drawing the run, you will always move from left to right.

Graphing slope

Finally, draw a line between your starting point and your final point. This is the slope of the line, which we show below with a red line.

Graphing slope

Example #2:

Given a point of (2, 7) and a slope of -3/2, graph the slope of the line.

First, locate the point (2, 7) and put it on the coordinate system.
Graphing slope

Using the slope of -3/2, we see that 3 is the fall and 2 is the run or horizontal distance.

Notice that this time we don't rise, but fall because the slope is negative.

Now, starting at the point (2,7) draw a fall of 3. In other words, count 3 units straight down as you draw a line. Once you are done, you will end point at the point (2, 4).

Graphing slope

Starting at point (2,4), draw a run of 2 or count 2 units horizontally as you draw a line. Once you are done, you will end up at the point (4,4)

Again, when drawing the run, you will always move from left to right.

Graphing slope

Finally, draw a line between your starting point and your final point. This is the slope of the line.
Graphing slope

Take the graphing slope quiz below to measure your understanding.

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