Freakierzzz
Freakierzzz Freakierzzz
  • 12-11-2019
  • Mathematics
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What is the value of r if the line that passes through (4,3) and ( -5, r ) has a slope of -1 ?​

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sqdancefan
sqdancefan sqdancefan
  • 12-11-2019

Answer:

12

Step-by-step explanation:

The point-slope equation of a line is ...

y = m(x -h) +k

for a line with slope m through point (h, k).

The line with slope -1 through point (4, 3) has the equation ...

y = (-1)(x -4) +3

y = -x +7

Then the value of y for x=-5 is ...

y = -(-5) +7 = 12

The value of r is 12.

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