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 basic mathematics image

Graphing slope



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.

point-image


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

draw-slope-image


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

draw-slope-image


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

draw-slope-image


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.

point-image


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

draw-slope-image


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

draw-slope-image


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

draw-slope-image






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