Answer:
Part 1) The slope is equal to [tex]m=0[/tex]
Part 3) The slope is [tex]m=-\frac{3}{4}[/tex]
Part 4) The slope is [tex]m=\frac{5}{7}[/tex]
Part 6) The slope is undefined
Part 8) The slope is [tex]m=-\frac{3}{2}[/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]
so
Part 1) Find the slope of the line that passes through the point (5,-5) and (9,-5)
Substitute in the formula
[tex]m=\frac{-5+5}{9-5}[/tex]
[tex]m=\frac{0}{4}=0[/tex]
Part 3) Find the slope of the line that passes through the point (-2,9.5) and (4,5)
Substitute in the formula
[tex]m=\frac{5-9.5}{4+2}[/tex]
[tex]m=\frac{-4.5}{6}=-\frac{3}{4}[/tex]
Part 4) Find the slope of the line
Observing the graph the line passes through the point (-3,-4) and (4,1)
Substitute in the formula
[tex]m=\frac{1+4}{4+3}[/tex]
[tex]m=\frac{5}{7}[/tex]
Part 6) Find the slope of the line that passes through the point (-7,0) and (-7,-4)
Substitute in the formula
[tex]m=\frac{-4-0}{-7+7}[/tex]
[tex]m=\frac{-4}{0}[/tex] ------> undefined
Part 8) Find the slope of the line that passes through the point (8,4) and (6,7)
Substitute in the formula
[tex]m=\frac{7-4}{6-8}[/tex]
[tex]m=-\frac{3}{2}[/tex]
