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

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Sally Cresswell · Accepted Answer

1: m=y2−y1x2−x1 2: 8=13−(−5)3−r 3: 8=183−r 8(3−r)=18 24−8r=18 8r=6 r=64

nick1337 · Accepted Answer

Answer:94Explanation:To find the value of r such that the line passing through the points (r,−5) and (3,13) has a slope of m=8, we can use the formula for slope:m=y2−y1x2−x1Substituting the coordinates of the given points:8=13−(−5)3−rNow we can solve for r. Multiplying both sides by 3−r:8(3−r)=13−(−5)Simplifying:24−8r=13+5Combining like terms:8r=42−248r=18Dividing both sides by 8:r=188=94Therefore, the value of r is 94.

Vasquez · Accepted Answer

To find the value of r such that the line passing through the points (r,−5) and (3,13) has a slope of m=8, we can use the slope formula:m=y2−y1x2−x1where (x1,y1) and (x2,y2) are the coordinates of the two points on the line.Substituting the given values, we have:8=13−(−5)3−rNow, let&#039;s solve this equation for r.Cross-multiplying, we get:8(3−r)=13−(−5)Expanding the brackets:24−8r=13+5Combining like terms:−8r+24=18Subtracting 24 from both sides:−8r=18−24Simplifying:−8r=−6Dividing both sides by −8:r=−6−8Simplifying further:r=34Therefore, the value of r that satisfies the given conditions is 34.

RizerMix · Accepted Answer

The slope of a line passing through two points, (x1,y1) and (x2,y2), is given by:m=y2−y1x2−x1In this case, we have the points (r,−5) and (3,13), and we want the slope to be m=8. So we can set up the equation:8=13−(−5)3−rSimplifying the equation, we have:8=183−rTo eliminate the fraction, we can multiply both sides of the equation by (3−r):(3−r)·8=18Expanding the left side:24−8r=18Next, we can isolate r by moving the constant term to the other side:−8r=18−24Simplifying further:−8r=−6Dividing both sides by −8:r=−6−8Finally, we can simplify the expression for r:r=34Therefore, the value of r that satisfies the given conditions is r=34.

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

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