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Find y if the slope between (5,y) and (7,-9) is -4.

Find y if the slope between (5,y) and (7,-9) is -4.

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Ben H. | Ben the Awesome TutorBen the Awesome Tutor

This is telling you that a line that cross the coordinates (5,y) and (7,-9) has a slope of -4.

To compute the slope, we use the formula rise over run.  The rise is (y -(-9)) and the run is (5-7).  Therefore, the slope formula is (y-(-9))/(5-7)=-4.  Now we solve for y.

1.  (y-(-9))/(5-7)=-4

2.  Simplify...(y+9)/-2=-4

3.  Multiply both sides by -2...y+9=8

4.  Subtract 9 from both sides...and we get the answer -1.

5.  Check the work by substituting -1 in the formula.


This verifies that the answer is y=-1.


Shefali J. | A Complete Math Tuition SolutionA Complete Math Tuition Solution
4.9 4.9 (264 lesson ratings) (264)

Hello Treena,

For solving this question you need to use the slope formula. m = (y2 - y1)/(x2 - x1)

Given to you are the coordinates of (x1, y1) and (x2, y2) and also the slope m.

x1 = 5; y1 = y; x2 = 7, y2 = -9 and m = -4

Substitute these values in the slope formula and solve for the variable y. You'll get the answer.

If you need further help, let us know.