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Which graph has a slope of 1/2?

Which graph has a slope of 1/2?-example-1
User Moth
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2 Answers

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Answer: Bottom left graph

Step-by-step explanation: a slope is the degree of change in the y-axis divided by the degree of change in the x-axis. Therefore, d(y) / d(x) = 1 / 2

d(x) = 2 d(y)

Meaning for every two steps taken along the y-axis, one step is taken along the x-axis.

Solving for slopes according to individual scales, the bottom right and top left graphs both have a slope of ¼

The top right graph has a slope of 1

Bottom left has a slope of ½, which is correct. Solving, we have:

d(y) / d(x) = (5 - 2½) / (20 - 10) = ½

User Matthew Roberts
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3 votes
A slope of 1/2 means for every two units to the right we move up one.

We have to be careful here because the graphs don't always use the same scale for x and y.

The bottom left uses the same scale and does indeed go two units to the right for every unit up, so that one is the answer.


User Hitesh Vala Ahir
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