The points (9,-2) and (10,r) fall on a line with a slope of 2 what is the value of r.

r = 0

Step-by-step explanation:

We are provided with some information

Slope = 2

Two points = ( 9 , -2)

( 10 , r)

Formula for slope

m = y_2 - y_1 / x _2 - x _1

x_1 = 9

y_1 = -2

x_2 = 10

y_2 = r

Inserting the values

m = y_2 - y_1 / x _2 - x _1

m = r - (-2) / 10 - 9

m = r + 2 / 10 - 9

m = r + 2 / 1

Given m = 2

2 = r + 2 / 1

Cross multiply

2 * 1 = r + 2

2 = r + 2

2 - 2 = r

0 = r

Therefore, r = 0

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step-by-step explanation: