How do you find the value of r such the points (5,r), (2, -3) with slope m=4/3?

Answer 1

r=1

You find the difference between 2 and 5: 3 Then multiply #4/3 * 3# Which is 4. So then you add 4 to -3 and that makes r=1

Using an equation: #y_2-y_1=m(x_2-x_1)# Substitute #r-(-3)=4/3(5-2)# #r+3=4/3(5-2)# Subtract 3 from both sides to isolate r. #r=4/3(5-2)-3# Distribute #r=20/3-8/3-3# Combine like terms #r=12/3-3# #r=4-3# #r=1#

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Answer 2

Avery Alexander

To find the value of (r) for the points ((5, r)) and ((2, -3)) with a slope (m = \frac{4}{3}), you can use the slope formula:

[ m = \frac{y_2 - y_1}{x_2 - x_1} ]

Given:

[ m = \frac{4}{3}, , (x_1, y_1) = (5, r), , (x_2, y_2) = (2, -3) ]

Substitute the given values into the slope formula:

[ \frac{4}{3} = \frac{-3 - r}{2 - 5} ]

Solve this equation for (r).The value of (r) such that the points ((5, r)) and ((2, -3)) have a slope of (m = \frac{4}{3}) is (r = 1).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.