Math Problem Statement

Select the correct slope and y-intercept for the following linear equation:

y = -2x + 4

Solution

For the linear equation y=2x+4y = -2x + 4, the equation is already in slope-intercept form, which is:

y=mx+by = mx + b

where:

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

From y=2x+4y = -2x + 4:

  • The slope (mm) is 2-2.
  • The y-intercept (bb) is 44.

So, the correct slope is 2-2, and the y-intercept is 44.

Would you like more details or have any questions?


Here are 5 related questions for further practice:

  1. What is the slope and y-intercept of the equation y=3x5y = 3x - 5?
  2. How do you find the slope of a line given two points?
  3. What is the equation of a line with slope 11 and y-intercept 3-3?
  4. How do you graph a linear equation given its slope and y-intercept?
  5. What does the slope of a line represent in real-world problems?

Tip: The slope tells you how steep a line is, and the y-intercept tells you where the line crosses the y-axis.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

Slope-intercept form y = mx + b

Theorems

Linear equation in slope-intercept form

Suitable Grade Level

Grades 6-8