Question 6
Given the points
Finding the slope between (-2, 1) and (-3, -3)
[tex]\left(x_1,\:y_1\right)=\left(-2,\:1\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-3\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-3-1}{-3-\left(-2\right)}[/tex]
[tex]m=4[/tex]
Question 7
Given the points
Finding the slope between (-4, 3) and (-2, -1)
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-1\right)[/tex]
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-1-3}{-2-\left(-4\right)}[/tex]
[tex]m=-2[/tex]
Question 8
Given the points
Finding the slope between (0, -2) and (0, -4)
As we know that the slope of the line given by the equation x=0 is undefined.
[tex]\mathrm{m}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-4-\left(-2\right)}{0-0}[/tex]
[tex]=\frac{-4+2}{0}[/tex]
[tex]=\frac{-2}{0}[/tex]
= ∞
