Math Problem Statement

Identify the slope, m, and y-intercept, b, of the equation y = -3x + 5.

Solution

The equation provided is y=3x+5y = -3x + 5, which is in the slope-intercept form y=mx+by = mx + b. Here:

  • mm is the slope of the line.
  • bb is the y-intercept, which is the point where the line crosses the y-axis.

From the equation:

  • The slope mm is 3-3.
  • The y-intercept bb is 55.

Would you like to go over graphing this equation or explore any further questions? Here are some related questions:

  1. What is the significance of the slope in the context of a graph?
  2. How would you calculate the x-intercept of the line?
  3. How does changing the y-intercept affect the graph of the line?
  4. Can you explain what a positive slope would look like on a graph compared to a negative slope?
  5. How can you find the slope between two points on a line?

Tip: When graphing, always start by plotting the y-intercept first, then use the slope to determine the direction and steepness of the line.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 6-8