Question

What is the slope of the line that contains the points in the table?

Answer 1

B

Explanation:

always remember that the slope is the ratio "y coordinate change / x coordinate change".

in the table we see that when x increases by 3, y increases by 3/4 (= 0.75).

this impression is confirmed by the last step, as x increases by 6, and y by 1.5 = 6/4.

so, the slope is

3/4 / 3 = 1/4

or

6/4 / 6 = 1/4

so, it is 1/4.

Answer 2

D

Explanation:

The boxes with whole numbers in them written as coordinates:

(-4, -11)

(8, -8)

we know gradient is rise over run, or (y2 - y1) / (x2 - x1)

gradient = (-8 - -11) / (8 - -4)

gradient = 3 / 12

gradient = ¼