Question

Of the three lines in the graph ,one has slope 1 ,one has slope 2, and one has slope 1/5

Answer 1

Each time the line makes a “stop” at an intersection of graph lines, make a point. Count how many it takes to go up and across from one point to another. Think of it as a fraction: top number is how many it takes to go up, bottom number is how many it takes to go across. If top number is going up, then it is positive. If it is going down, it is a negative number. So the answer is STEEPEST slope is 2, LEAST steep is 1/5, and the MIDDLE one is 1.

Answer 2

The line that has slope 1 is labelled blue.

The line that has slope 2 is labelled green.

The line that has slope 1/5 is labelled red.

(see attached image)

• Recall:

Slope of any line is the rise/run along the line, which is:

$slope(m) = \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}$

In the diagram given:

• The line labelled blue has the following slope:

$slope(m) = \frac{rise}{run} = \frac{3}{3} = 1$

• The line labelled green has the following slope:

$slope(m) = \frac{rise}{run} = \frac{4}{2} = 2$

• The line labelled red has the following slope:

$slope(m) = \frac{rise}{run} = \frac{2}{10} = \frac{1}{5}$

Therefore:

• The line that has slope 1 is labelled blue.
• The line that has slope 2 is labelled green.
• The line that has slope 1/5 is labelled red.

Learn more about slope here:

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