Question

100 POINTS

Answer 1

Answer:

Part A) $m=3$

Part B) $m=1$

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Part A) Determine the slope for the line that passes through the points (3,5) and (−1,−7)

substitute the values in the formula

$m=\frac{-7-5}{-1-3}$

$m=\frac{-12}{-4}$

$m=3$

Part B) Determine the slope for the line that passes through the points given by the table of values

Looking at the given table, take two points

(0,-5) and (2,-3)

substitute the values in the formula

$m=\frac{-3+5}{2-0}$

$m=\frac{2}{2}$

$m=1$