Answer:
Problem 20: [tex]m[/tex] = [tex]2[/tex]
Problem 21: [tex]m[/tex] = [tex]-2[/tex]
Problem 22: [tex]m[/tex] = [tex]1[/tex]
Problem 23: [tex]m[/tex] = [tex]3[/tex]
Step-by-step explanation:
The formula to find the slope of a line: [tex]m = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex].
Problem 20:
1) Substitute the values into the formula and solve it.
[tex]m[/tex] = [tex]\frac{3-7}{2-4}[/tex]
[tex]m[/tex] = [tex]\frac{-4}{-2}[/tex]
[tex]m[/tex] = [tex]2[/tex]
Problem 21:
1) Substitute the values into the formula and solve it.
[tex]m[/tex] = [tex]\frac{-5-1}{2--1}[/tex]
[tex]m[/tex] = [tex]\frac{-6}{3}[/tex]
[tex]m[/tex] = [tex]-2[/tex]
Problem 22:
1) Substitute the values into the formula and solve it.
[tex]m[/tex] = [tex]\frac{3-7}{-6--2}[/tex]
[tex]m[/tex] = [tex]\frac{-4}{-4}[/tex]
[tex]m[/tex] = [tex]1[/tex]
Problem 23:
1) Substitute the values into the formula and solve it.
[tex]m[/tex] = [tex]\frac{-4-2}{-4--2}[/tex]
[tex]m[/tex] = [tex]\frac{-6}{-2}[/tex]
[tex]m[/tex] = [tex]3[/tex]
*Extra*: The equation of a line is written in this form: [tex]y = mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is [tex]y[/tex]-intercept
