SOLUTION: Determine the value of r so that the line through (6, -2) and (4, r ) has a slope of -3.

Question 1047189: Determine the value of r so that the line through (6, -2) and (4, r ) has a slope of -3.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The basic idea is to use the slope formula to solve for r. I show how to do this below

Step 1)

Step 2)

Step 3)

Step 4)

Step 5)

Step 6)

Step 7)

Step 8)

Step 9)

------------------------------------------------------------------------------------------

The explanation for each step is given here

Step 1) Start with the slope formula

Step 2) Plug in the given information

Step 3) Rewrite as

Step 4) Simplify to get

Step 5) Multiply both sides by -2 (to undo the division of -2)

Step 6) Multiply and simplify. Notice how the "-2" terms cancel on the right side

Step 7) Flip the equation

Step 8) Subtract 2 from both sides (to undo the addition of 2)

Step 9) Combine like terms

------------------------------------------------------------------------------------------

The final answer is
RELATED QUESTIONS
Determine the value of r so the line that passes through (4,-7) and (-2,r) has a slope of (answered by Nate)

Find the value of r so that the line through(5,10)(r,7)has a slope of 3/8 Find the... (answered by rfer)

Find the value of r so that the line through (-4,3) and (r, -3) has a slope of... (answered by ankor@dixie-net.com)

Find the value of r so that the line through (4,5) and (r,3) has a slope of... (answered by mananth)

find the value of r so that the line through (-4,3) and (r,-3) has a slope of... (answered by rfer)

determine the value of r so that the line (5,r) and (2,3) has a slope 2.... (answered by rchill)

Help me please The question asks Determine the slope of the line passing through each (answered by elima)

Hello, I need help determining the value of r so that the line through (-4,8) and... (answered by edjones)

Find the value of 'r' so the line that passes through (-4,8) and (r, -6) has a slope of... (answered by ReadingBoosters)