Math Problem Statement

What is the y intercept of the line y = -2x - 5

Solution

The y-intercept of the line y=2x5y = -2x - 5 can be found directly from the equation.

The equation is in the slope-intercept form:

y=mx+by = mx + b

Here:

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

In your equation y=2x5y = -2x - 5, the constant term b=5b = -5. Therefore, the y-intercept is:

y-intercept=5\text{y-intercept} = -5

This means the line crosses the y-axis at the point (0,5)(0, -5).

Would you like more details or have any questions about this?

Here are five related questions:

  1. What is the slope of the line y=2x5y = -2x - 5?
  2. How do you find the y-intercept if you are given two points on a line?
  3. How does the y-intercept affect the graph of a line?
  4. What are the coordinates of the x-intercept of the line y=2x5y = -2x - 5?
  5. How does the equation change if the y-intercept is positive?

Tip: The y-intercept is where the line crosses the y-axis, which happens when x=0x = 0.

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

-

Suitable Grade Level

Grades 7-9