Question

The points -7, two and R, 11 lie on a line with a slope 3/4 find the missing coordinate r

Answer 1

So, the missing coordinate "R" is equal to 5.

Explanation:

You can use the formula for the slope of a line to find the missing coordinate, which is "R" in this case. The formula for the slope (m) given two points (x1, y1) and (x2, y2) is:

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

In your case, you have one point (-7, 2) and another point with coordinates (R, 11), and you know the slope (m) is 3/4. You can plug in the values into the formula and solve for R:

3/4 = (11 - 2) / (R - (-7))

Now, simplify and solve for R:

3/4 = 9 / (R + 7)

To isolate R, cross-multiply:

3(R + 7) = 4 * 9

3R + 21 = 36

Now, subtract 21 from both sides to solve for R:

3R = 36 - 21

3R = 15

Now, divide by 3 to find the value of R:

R = 15 / 3

R = 5

So, the missing coordinate "R" is equal to 5.