Math Problem Statement

. ​(Type an integer or a​ decimal.)

Find the slope, if it exists, of the line. y = 2.96x - 3

Solution

The equation given is:

y=2.96x3y = 2.96x - 3

This is a linear equation in slope-intercept form, which is:

y=mx+by = mx + b

Where:

  • mm is the slope of the line,
  • bb is the y-intercept.

In this case, the slope mm is the coefficient of xx, which is 2.96.

So, the slope of the line is 2.96.

Would you like any further details or explanations?

Here are five related questions to deepen your understanding:

  1. How do you find the slope of a line if given two points?
  2. What is the y-intercept of the given line equation?
  3. How would you graph the line y=2.96x3y = 2.96x - 3?
  4. Can the slope of a vertical line be determined?
  5. How does the slope affect the steepness of a line?

Tip: In the slope-intercept form y=mx+by = mx + b, the slope mm controls the direction and steepness of the line, while bb determines where it crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form y = mx + b

Theorems

Slope of a line theorem

Suitable Grade Level

Grades 7-10