Answer:
Part A) [tex]m=3[/tex]
Part B) [tex]m=1[/tex]
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Part A) Determine the slope for the line that passes through the points (3,5) and (−1,−7)
substitute the values in the formula
[tex]m=\frac{-7-5}{-1-3}[/tex]
[tex]m=\frac{-12}{-4}[/tex]
[tex]m=3[/tex]
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
[tex]m=\frac{-3+5}{2-0}[/tex]
[tex]m=\frac{2}{2}[/tex]
[tex]m=1[/tex]
