Question

Find and classify the slope of the line through each pair of points. (2,17),(-18,-16)

Answer 1

slope = 1.65 and is positive (going uphill)

Explanation:

Slope from a pair of points can be found using slope formula:

`(y_(2)-y_(1))/(x_(2)-x_(1))` where (
`x_(1),y_(1)`) represent one point and (
`x_(2),y_(2)`) represent another point. Using the two points given (2, 17) and (-18, -16):

`(-16-17)/(-18-2)=(-33)/(-20)=1.65`

Since a negative divided by a negative becomes a positive, the overall slope of 1.65 is positive and the line will be increasing from left to right.