point A (-2,3) lies on a line with a slope of 2. Describe how to find two points on the line on either side of A.

3 answers

since the slope is 2, y changes by 2 whenever x changes by 1.

So, pick a point 1 unit to the right or left of (-2,3)

These would be (-3,?) and (4,?)

Since y changes by 2 for every 1 in x, the two points would be 2 units above or below (-2,3):

(-2,1) and (4,5)

You could have picked any other two x values, just make sure that the difference in y is twice the difference in x.
thank you Steve!
Point A(-2, 3) lies on a line with a slope of 2. Describe how to find two points on the line on either side of A