Answer:
[tex]\boxed {\boxed {\sf m= -\frac{2}{7}}}[/tex]
Step-by-step explanation:
The slope of a line can be found using the following formula:
[tex]m=\frac{y_2-y_2}{x_2-x_1}[/tex]
Where (x₁,y₁) and (x₂,y₂) are the points on the line.
We are given the points (12,7) and (5,9). Therefore:
[tex]x_1=12\\y_1=7\\\\x_2=5 \\y_2=9[/tex]
Substitute the values into the formula.
[tex]m=\frac{9-7}{5-12}[/tex]
Solve the numerator.
[tex]m=\frac{2}{5-12}[/tex]
Solve the denominator.
- Subtract 12 from 5
- 5-12= -7
[tex]m=\frac{2}{-7}[/tex]
This fraction cannot be reduced further, so it is the answer.
The slope of the line is -2/7
