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Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (-3, r), m = 3/4​

User TMS
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Answer:

the value of r that makes the slope of the line passing through (3, 5) and (-3, r) equal to 3/4 is r = 1/2

Explanation:

We can use the formula for the slope of a line passing through two points, which is:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points.

In this case, we have two points (3, 5) and (-3, r), and we know that the slope m is 3/4. So we can write:

3/4 = (r - 5)/(-3 - 3)

Simplifying this equation, we get:

3/4 = (r - 5)/(-6)

Multiplying both sides by -6, we get:

-9/2 = r - 5

Adding 5 to both sides, we get:

r = -9/2 + 5

Simplifying, we get:

r = 1/2

User Sergi And Replace
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