Answer:
[tex]\boxed {\boxed {\sf m=5}}[/tex]
Step-by-step explanation:
The slope of a line tells us the steepness and direction of a line. It is the change in y over the change in x (rise over run). It is calculated using the following formula:
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂,y₂) are the coordinates the line passes through. The line contains (3, -2) and (4,3), therefore:
- x₁ = 3
- y₁ = -2
- x₂ =4
- y₂ = 3
Substitute the values into the formula.
[tex]m= \frac{3 --2}{4-3}[/tex]
Solve the numerator.
[tex]m= \frac{5}{4-3}[/tex]
Solve the denominator.
[tex]m= \frac{5}{1}=5[/tex]
The slope of the line is 5.
