Find the value of r so the line that passes through each pair has the given slope.
1. $\displaystyle (-5, r), (1, 3), m = \frac{7}{6}$
2. (-7, 2), (-8, r), m = -5
Slope = rise/run
Slope = $\displaystyle {y_2} - {y_1} / {x_2} - {x_1}$
1)
Let -5 be $\displaystyle {x_1}$ and 1 be $\displaystyle {x_2}$ and
Let r be $\displaystyle {y_1}$ and 3 be $\displaystyle {y_2}$
Plugging in, we get the equation
3 - r / 1 - (-5) = 7/6
3 - r / 6 = 7/6
3 - r = 7
r = -4
Try the next one by yourself.