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

What is the slope of the line that contains these points?-example-1

2 Answers

4 votes

Answer:


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

Explanation:

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


m=(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=(56-35)/(2--1)

Solve the numerator.

  • 56-35=21


m=(21)/(2--1)

Solve the denominator.

  • 2--1= 2+1=3


m=(21)/(3)

Divide.


m=7

The slope of the line is 7

User Cesartalves
by
7.4k points
0 votes

Answer:


m=7

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra I

  • Slope Formula:
    m=(y_2-y_1)/(x_2-x_1)

Explanation:

Step 1: Define

Find points from chart.

Point (-7, -7)

Point (-4, 14)

Step 2: Find slope m

  1. Substitute:
    m=(14+7)/(-4+7)
  2. Add:
    m=(21)/(3)
  3. Divide:
    m=7
User Klenium
by
7.0k points