Math Problem Statement

y=6x+13

Solution

The equation you've provided is a linear equation in slope-intercept form, which is typically written as:

y=mx+by = mx + b

Where:

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

For the equation y=6x+13y = 6x + 13:

  • The slope mm is 66, meaning for every unit increase in xx, yy increases by 6.
  • The y-intercept bb is 1313, so the line crosses the y-axis at y=13y = 13.

Would you like to know more details, such as how to graph it or find specific points on the line?

Here are 5 related questions you might find interesting:

  1. What does the slope of 6 represent in practical terms?
  2. How can you determine the x-intercept of this equation?
  3. How would you rewrite the equation if you shifted the line down by 5 units?
  4. What are the coordinates of the point where x=2x = 2?
  5. How would the graph look if the slope were negative?

Tip: To graph a linear equation, you only need two points. Use the y-intercept and another easy-to-calculate point to quickly sketch 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
Slope-Intercept Form

Formulas

y = mx + b (Slope-Intercept Form)

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9