232k views
5 votes
Set up and solve a proportion to find the value of r so that the line through (-3,-4) and (-5,r) has a slope of −9/2.

User Sreekar
by
8.3k points

1 Answer

4 votes

Final answer:

The value of r for the line to have a slope of -9/2, we set up a slope proportion and solve it to find that r equals -13.

Step-by-step explanation:

To find the value of r so that the line through the points (-3,-4) and (-5,r) has a slope of −9/2, we can set up a proportion using the slope formula:

The slope (m) is given by the formula:

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

Plugging in the known values, we get:

(r - (-4)) / (-5 - (-3)) = -9/2

This simplifies to:

(r + 4) / (-2) = -9/2

By cross-multiplying, we obtain:

2(r + 4) = 9(−2)

Which simplifies to:

2r + 8 = -18

Subtracting 8 from both sides, we get:

2r = -26

Dividing by 2, we find:

r = -13

Therefore, the value of r is −13.

User Prasad Jadhav
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories