Answer:
The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is [tex]\frac{-6-0}{6-5}[/tex] ⇒ C
Step-by-step explanation:
The formula of the slope of a line passes through points [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]
is [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
∵ The line passes through points (5 , 0) and (6 , -6)
∴ [tex]x_{1}[/tex] = 5 and [tex]x_{2}[/tex] = 6
∴ [tex]y_{1}[/tex] = 0 and [tex]y_{2}[/tex] = -6
Substitute these values in the formula of the slope
∵ [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
∴ [tex]m=\frac{-6-0}{6-5}[/tex]
Let us look to the answer and find the same formula
The answer is:
The correct way to set up the slope formula for the line that passes through points (5 , 0) and (6 , -6) is [tex]\frac{-6-0}{6-5}[/tex]
