Question

Find the value of r so the line that passes through each pair of points has the given slope. (r, 2), (5, r), m = 0

Answer 1

To find the slope given two points, just solve the equation (y1-y2)/(x1-x2)=m. So (2-r)/(r-5)=0. To get the slope to be 0, you need only the numerator to be 0 (if the denominator is 0, the slope is undefined).

So 2-r=0, and r=2.

Answer 2

Answer: r = 2

Explanation:

The line passes through each pair of points, (r, 2), (5, r)

Slope, m = 0

From the points, (r, 2), (5, r) given,

Slope, m = (change in value of y)/ (change in value of x)

For (r, 2), y1 (initial value of y) = 2

x1 (initial value of x ) = r

For (5, r), y2 (final value of y) = r

x2 (final value of x ) = 5

Slope = (y2-y1)/ (x2- x1)= (r-2) /( 5-r)

From the question, slope = 0

Therefore,

0 = (r-2) /( 5-r)

Cross multiplying,

r-2 = 0(5-r)

r-2 =0

r = 0+2 = 2

So the pair of points through which the line passes = (2, 2), (5, 2) with slope, m = 0