Question

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

Answer 1

3/7

Explanation:

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

9/21= 3/7

Answer 2

`\boxed {\boxed {\sf m= (3)/(7) }}`

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= ( \Delta y )/(\Delta x)`

`m= (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= (20-11)/(15 - -6 )`

Solve the numerator.

`m= (9)/(15--6)`

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

`m= (9)/(15+6)`

`m= (9)/(21)`

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

`m= (9/3)/(21/3)`

`m= (3)/(7)`

The slope of the line is 3/7.