Question

What is the slope of the line that contains these points?

Answer 1

Answer:

$m=7$

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra I

• Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Find points from chart.

Point (-7, -7)

Point (-4, 14)

Step 2: Find slope m

1. Substitute:                    $m=\frac{14+7}{-4+7}$
2. Add:                              $m=\frac{21}{3}$
3. Divide:                          $m=7$

Answer 2

Answer:

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

Step-by-step explanation:

To find the slope, we can use the slope formula.

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

where (x₁, y₁) and (x₂, y₂) are points on the line.

We can pick any two points in the chart.

Let's use (-1, 35) and  (2,56).

If we use these points, then the variables are:

$x_1=-1 \\y_1=35 \\x_2=2 \\y_2=56$

Substitute the values into the formula.

$m=\frac{56-35}{2--1}$

Solve the numerator.

• 56-35=21

$m=\frac{21}{2--1}$

Solve the denominator.

• 2--1= 2+1=3

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

Divide.

$m=7$

The slope of the line is 7