Envision Math 2.0: Grade 8, Volume 1
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Envision Math 2.0: Grade 8, Volume 1 View details
6. Connect Proportional Relationships and Slope
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Exercise 8 Page 127

Substitute the given points into the Slope Formula.

See solution.

Practice makes perfect
We can calculate the slope by substituting the given points into the Slope Formula. slope = y_2 - y_1/x_2 - x_1 Note that it does not matter which point we choose to use for ( x_1, y_1) and ( x_2, y_2), since the result of using the Slope Formula will be the same.
slope = y_2-y_1/x_2-x_1
slope=4- 0/2- 0
slope = 4/2
slope = 2
The slope of the line that passes through the given points is 2.

Extra

Switch Order of Points
We will confirm that it does not matter which point we choose to use for ( x_1, y_1) and ( x_2, y_2). To do so, let's change the order of points in our formula. This time we will use (2,4) for (x_1,x_2), and (0,0) for (x_1,x_2).
slope = y_2-y_1/x_2-x_1
slope=0- 4/0- 2
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Simplify right-hand side
slope = -4/-2
slope = -4/-2
slope = 4/2
slope = 2
Again, we got that the slope of the line that passes through the given points is 2.