Answer:
[tex]m=4[/tex]
Skills needed: Linear Equations, Algebra
Step-by-step explanation:
1) We are trying to find the slope of a line given two coordinate pairs.
They are: [tex](3, 1)[/tex] and [tex](2, -3)[/tex]
Think of these two coordinate pairs as: [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]
The formula for slope would be: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] or [tex]\frac{\triangle{y}}{\triangle{x}}[/tex] (the second one says change in y over change in x)
2) So let's assign values:
[tex]3[/tex] is [tex]x_1[/tex]
[tex]1[/tex] is [tex]y_1[/tex]
[tex]2[/tex] is [tex]x_2[/tex]
[tex]-3[/tex] is [tex]y_2[/tex]
Slope would be: [tex]\frac{-3-1}{2-3} = \frac{-4}{-1} = 4[/tex]
Therefore [tex]m=4[/tex].
================================================================== Hope you understood and have a nice day!
