Answer:
[tex]\boxed {\boxed {\sf m= \frac{3}{7} }}[/tex]
Step-by-step explanation:
We are asked to find the slope of a line. The slope tells us the steepness and direction of a line. It is found by dividing the change in y by the change in x.
[tex]m= \frac{ \Delta y }{\Delta x}[/tex]
[tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 11) and (15,20). If we match a value with its corresponding variable, we see that:
- x₁ = -6
- y₁ = 11
- x₂ = 15
- y₂ = 20
Substitute the values into the formula.
[tex]m= \frac{20-11}{15 - -6 }[/tex]
Solve the numerator.
[tex]m= \frac{9}{15--6}[/tex]
Solve the denominator. 2 back to back negative signs become a positive sign.
[tex]m= \frac{9}{15+6}[/tex]
[tex]m= \frac{9}{21}[/tex]
Simplify the fraction. 3 divides evenly into the numerator and denominator.
[tex]m= \frac{9/3}{21/3}[/tex]
[tex]m= \frac{3}{7}[/tex]
The slope of the line is 3/7.
