Question

2. On the coordinate grid below, show the coordinates of two points for which the slope of the line between them is 3. 3 2 A ch 4 3 2 2 3 -2 4

Answer 1

Recall that the slope is given by

`m=\frac{\text{rise}}{\text{run}}=(3)/(1)=3`

Since we are not given the y-intercept which is the point when the line crosses the y-axis so we can take the origin as the first coordinate.

Since the slope is positive, we run 1 unit to the right and rise 3 units upward.

Let us draw it on the given grid.

As you can see, we started from the origin (0, 0) and then drawn the point going 1 unit to the right and 3 units upward.

So the other point is (1, 3)

Therefore, the two possible points for a line with slope 3 are (0, 0) and (1, 3)

Please note that you may extend this line and find other points too.