# 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. 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. 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. 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. 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. 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). 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. Finally, draw a line between your starting point and your final point. This is the slope of the line. ## Recent Articles 1. ### Introduction to Physics

Nov 18, 20 01:20 PM

Top-notch introduction to physics. One stop resource to a deep understanding of important concepts in physics

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius! Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.