Question

The slope of line p is ___ and the slope of line q is ___

line p
a. -3
b. 1.5
c. 3

line q
a. -3
b. 1.5
c. 3
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Answer 1

Slope of line p = 3

Slope of line q = -3

Explanation:

An easy way to find slope is to pick one point and move up the line to find the next point with exact coordinates.

For line p, we can use point (1,-1). Moving farther up the line, the next point that lands exactly on a coordinate, is (2,2) The slope of a line is the rise of a line over its run. Or,
`(rise)/(run)`. From the first point, we move up exactly 3 units, and over 1 unit to reach the next point. We rise 3 units and run 1 unit. In fraction form,
`(3)/(1)`. This simplifies to 3. The slope of line p is 3.

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For line q, we can use the same method. Notice first that the line slopes down, which means the slope will be negative.

Now, we can pick a point on the line. Let's use the same one we used for line p, point (1,-1). The next point up the line is point (0,2). From point (1,-1), we rise 3 units, and run -1 unit. The run, we can tell, is negative, because it goes to the left. The slope is
`(3)/(-1)`. Simplify this to -3. The slope of line q is -3.

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I hope this helps ^^ Good luck :)