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