Question 5)
Given the points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(5,\:5\right)[/tex]
[tex]m=\frac{5-0}{5-2}[/tex]
[tex]m=\frac{5}{3}[/tex]
Therefore, the slope is:
[tex]m=\frac{5}{3}[/tex]
Question 6)
Given the points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:3\right)[/tex]
[tex]m=\frac{3-0}{-2-\left(-1\right)}[/tex]
[tex]m=-3[/tex]
Therefore, the slope is:
[tex]m=-3[/tex]
Question 7)
Given the points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:3\right)[/tex]
[tex]m=\frac{3-\left(-1\right)}{1-\left(-1\right)}[/tex]
[tex]m=2[/tex]
Therefore, the slope is:
[tex]m=2[/tex]
Question 8)
Given the points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(2,\:0\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex]
[tex]m=\frac{4-0}{-2-2}[/tex]
[tex]m=-1[/tex]
Therefore, the slope is:
[tex]m=-1[/tex]
Question 9)
Given the points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(4,\:-2\right)[/tex]
[tex]m=\frac{-2-1}{4-0}[/tex]
[tex]m=-\frac{3}{4}[/tex]
Therefore, the slope is:
[tex]m=-\frac{3}{4}[/tex]
Question 10)
Given the points
[tex]\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(1,\:-3\right)[/tex]
[tex]m=\frac{-3-2}{1-0}[/tex]
[tex]m=-5[/tex]
Therefore, the slope is:
[tex]m=-5[/tex]
