SOLUTION: Find the value of r so the line that passes through each pair of points has the given slope. (6,8) (r, -2) m=1

Algebra ->  Linear-equations -> SOLUTION: Find the value of r so the line that passes through each pair of points has the given slope. (6,8) (r, -2) m=1      Log On


   

Question 1125824: Find the value of r so the line that passes through each pair of points has the given slope.
(6,8) (r, -2) m=1
Found 3 solutions by josgarithmetic, josmiceli, greenestamps:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the value of r so the line that passes through each pair of points has the given slope.
(6,8) (r, -2) m=1
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%288%2B2%29%2F%286-r%29=1

10=6-r
4=-r
r=-4

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
slope = ( change in y ) / ( change in x )
+m+=+%28+8+-%28-2%29+%29+%2F+%28+6+-+r+%29+
+1+=+10+%2F+%28+6+-+r+%29+
+6+-+r+=+10+
+r+=+-4+

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


It is very easy to get wrong answers if you plug numbers into the formula for the slope between two points. Write the formula wrong, or put the wrong numbers in the wrong places, and you get a wrong answer.

Use the definition of slope and logical reasoning to get the answer.

A slope of 1 says that as you walk along the line the y value changes at the same rate as the x value:

m = (change in y)/(change in x) = 1 --> change in y = change in x

In this example, from the first point to the second point, the y value changes by -10. That means the x value has to change by -10 also.

ANSWER: r = 6 + -10 = -4.