Graphing slope

We will show you here how easy graphing slope can be using the slope and any point given.

We will show you here how easy graphing slope can be using the slope and any point given.

Example #1:

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

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

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) draw a rise of 5. In other words, count 5 units straight up as you draw a line

Graphing slope


Starting at point (1,7) draw a run of 2 or count 2 units horizontally as you draw a line

Graphing slope


Finally, draw a line between your starting point and your final point. This is the slope of the line (in red)

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

Graphing slope


Starting at point (2,4) draw a run of 2 or count 2 units horizontally as you draw a line

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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