Question

The points (5, r) and (10, 13) lie on a line with a slope of 3. Find the missing coordinate r.

a) 7
b) 6
c) 8
d) 9

Answer 1

Using the slope formula, we calculated the missing coordinate r to be -2, which does not match any of the given options. There might be an error in the options provided.

Step-by-step explanation:

To find the missing coordinate r for the point (5, r) that lies on a line with a slope of 3, passing through another given point (10, 13), we use the slope formula:

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

We know that m = 3, y2 = 13, y1 = r (unknown), x2 = 10, and x1 = 5.

Substituting the known values into the slope formula, we get:

3 = (13 - r) / (10 - 5)

Multiplying both sides by (10 - 5) to isolate the term (13 - r), we have:

3 \(\times\) 5 = 13 - r

Which simplifies to:

15 = 13 - r

Finally, solving for r:

r = 13 - 15

r = -2