Question

Find the value of R so the line that passes through each pair of points has the given slope (-4,r) and (-8,3). M= -5

Answer 1

Answer: $r = -17$

Step-by-step explanation:

The formula for calculating slope is given as:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

From the question

$m = -5$

$x_{1} = -4$

$x_{2} = -8$

$y_{1} = r$

$y_{2} = 3$

substituting into the formula , we have :

$-5 = \frac{3-r}{-8-(-4)}$

$-5 = \frac{3-r}{-8+4}$

$-5 = \frac{3-r}{-4}$

multiplying through by -4 , we have:

$20 = 3-r$

add r to both sides

$20+r= 3$

subtract 20 from both sides

$r = -17$