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.

# 2 Answers

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.

(-1+9)/(5-7)=-4

**This verifies that the answer is y=-1**.

Hello Treena,

For solving this question you need to use the slope formula. m = (y_{2} - y_{1})/(x_{2} - x_{1})_{
}

Given to you are the coordinates of (x_{1}, y_{1}) and (x_{2}, y_{2}) and also the slope m.

x_{1} = 5; y_{1} = y; x_{2} = 7, y_{2} = -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.

## Comments

need a little help setting it up please thanks

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