Question

(-5,16) and (5,r) finding the coordinate that yields a given slope

Answer 1

To find the coordinate that yields a given slope, substitute the given values into the slope formula and solve for the coordinate.

Step-by-step explanation:

To find the coordinate that yields a given slope, we need to use the slope formula:

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

Given the ordered pairs (-5,16) and (5,r), where the slope is given, let's substitute the values into the formula:

m = (r-16)/(5-(-5))

We can simplify this to:

m = (r-16)/10

Now, we can solve for r by multiplying both sides of the equation by 10:

10 * m = r - 16

r = 10m + 16

So, the coordinate that yields the given slope is (5, 10m+16).