Math Problem Statement

what is the y intervept of the line y=4x+8

Solution

The equation of the line is given as:

y=4x+8y = 4x + 8

In this equation, the general form is:

y=mx+by = mx + b

Where:

  • mm is the slope of the line,
  • bb is the y-intercept, which is the value of yy when x=0x = 0.

For the equation y=4x+8y = 4x + 8, the y-intercept is the constant term, which is 8.

Thus, the y-intercept is 8\boxed{8}.

Would you like to explore more about slope-intercept form or another related concept?

Here are some related questions for you:

  1. How do you find the slope of a line given two points?
  2. What is the significance of the slope in real-world applications?
  3. How can you convert an equation in standard form to slope-intercept form?
  4. What is the y-intercept for the line y=3x+5y = -3x + 5?
  5. How do you graph a line given its equation?

Tip: The y-intercept is always the value of yy when x=0x = 0, so you can find it directly from the equation in slope-intercept form y=mx+by = mx + b.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Form Theorem

Suitable Grade Level

Grades 6-8