Question

Find the value of r so the line that passes through the pair of points has the given slope. (r, −5), (3, 13), m=8

Answer 1

The value of r is found as 3/2 such that line that passes through the pair of points.

Describe the term slope of the line?

• The ratio of both the altitude to that same horizontal distance (rise across run) between two places is typically used to calculate the slope, a numerical value that represents how steep a line is.
• A line's slope provides information on the steepness and direction of the line.
• By calculating the difference between coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of either a straight line between them.
• The letter "m" is frequently used to denote slope.

The slope is given bye the equation;

m = (y2 - y1)/(x2 - x1)

For the given question, the points are given as;

(x1, y1) = (r, -5),

(x2, y2) = (3, 13)

m = 8

8 = (13 + 5)/(3 - r)

8(3 - r) = 18

8r = 6

r = 3/2

Thus, the value of r is found as 3/2 such that line that passes through the pair of points.

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The correct question is-

Find the value of r so the line that passes through each pair of points has the given slope. (r, -5), (3, 13), m = 8