Math Problem Statement

Graph the equation y = -2x + 3.

Solution

The equation visible in your image is:

y=2x+3y = -2x + 3

This is the equation of a straight line in slope-intercept form y=mx+by = mx + b, where:

  • mm (the slope) is 2-2,
  • bb (the y-intercept) is 33.

Key characteristics of this line:

  • The slope m=2m = -2 indicates the line is decreasing: for every 1 unit increase in xx, the value of yy decreases by 2 units.
  • The y-intercept b=3b = 3 is the point where the line crosses the y-axis, which is at (0,3)(0, 3).

If you'd like, I can help you graph it step by step or explain further.

Would you like more details or explanations about this? Here are some related questions you might find helpful:

  1. How do you find the x-intercept of the line?
  2. How does changing the slope or y-intercept affect the graph?
  3. What is the significance of the slope being negative?
  4. Can you explain how to find another point on the line besides the intercepts?
  5. How do parallel and perpendicular lines relate to this equation?

Tip: When graphing, always plot 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

Algebra
Linear Equations

Formulas

Slope-intercept form: y = mx + b

Theorems

-

Suitable Grade Level

Grades 7-9