Math Problem Statement

What is the slope of the line given by the table?

Solution

To find the slope of the line represented by the table, we use the slope formula, which is:

slope=y2y1x2x1\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}

Looking at the table, we can select two points to calculate the slope. Let’s take the points (0,50)(0, 50) and (2,120)(2, 120). Using the slope formula:

slope=1205020=702=35\text{slope} = \frac{120 - 50}{2 - 0} = \frac{70}{2} = 35

Thus, the slope of the line is 35.

Would you like a further explanation or have any other questions?

Here are five related questions you might find helpful:

  1. What does the slope represent in a real-world context?
  2. How does changing points in the table affect the slope calculation?
  3. Can we use the slope-intercept form of the line equation from this table?
  4. How can we confirm that this line is linear using the slope?
  5. How would the slope change if the numbers in the table were different?

Tip: When calculating slope, always ensure that the points you choose reflect the correct increase in both the x-values and the y-values.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope

Formulas

Slope formula: slope = (y2 - y1) / (x2 - x1)

Theorems

Slope theorem for linear functions

Suitable Grade Level

Grades 6-8