Answer:
1.) [tex]slope=2[/tex]
2.) [tex]slope=-3[/tex]
3.) [tex]slope=\frac{1}{4}[/tex]
4.) [tex]slope=-\frac{4}{5}[/tex]
Step-by-step explanation:
The unit rate is also known as slope. Slope is the change in the y values over the change in the x values:
[tex](x_{1},y_{1})\\\\(x_{2},y_{2})\\\\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=slope[/tex]
However, with certain graphs, the slope can be found in a simpler manner.
- You start at one point and move across the y-axis, then move along the x-axis until you reach another point on the same line.
- Make sure you move on the y-axis first, then the x-axis. Record the slope as spaces moved in each [tex]\frac{y}{x}[/tex]
- When you move up, the number will be positive [tex](\frac{+y}{x})[/tex]. If you move down, the number will be negative [tex](\frac{-y}{x})[/tex].
- If you move to the right, the number will be positive [tex](\frac{y}{+x})[/tex]. If you move to the left, the number will be negative [tex](\frac{y}{-x})[/tex].
