Question

1.Find the slope of the line through (-6, 11) and (15, 20).

Answer 1

Answer:

$\boxed {\boxed {\sf m= \frac{3}{7} }}$

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.

$m= \frac{ \Delta y }{\Delta x}$

$m= \frac{y_2-y_1}{x_2-x_1}$

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.

$m= \frac{20-11}{15 - -6 }$

Solve the numerator.

$m= \frac{9}{15--6}$

Solve the denominator. 2 back to back negative signs become a positive sign.

$m= \frac{9}{15+6}$

$m= \frac{9}{21}$

Simplify the fraction. 3 divides evenly into the numerator and denominator.

$m= \frac{9/3}{21/3}$

$m= \frac{3}{7}$

The slope of the line is 3/7.

Answer 2

Answer:

3/7

Step-by-step explanation:

(20-11)/(15-(-6)) = 9/21

9/21= 3/7