The value of r is found as 3/2 such that line that passes through the pair of points.
<h3>Describe the term slope of the line?</h3>
- 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