Math Problem Statement

Find the slope and the y-intercept of the line: y = 7x - 6

Solution

The equation given is y=7x6y = 7x - 6. This is in the slope-intercept form, which is:

y=mx+by = mx + b

Here:

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

From the equation y=7x6y = 7x - 6:

  • The slope mm is 77.
  • The y-intercept bb is 6-6.

So, the slope of the line is 7, and the y-intercept is -6.

Would you like more details or have any questions?

Here are some related questions you might find useful:

  1. How do you graph the line given by the equation y=7x6y = 7x - 6?
  2. What does the slope of 7 indicate about the steepness of the line?
  3. How would the equation change if the slope were negative?
  4. What would the graph look like if the y-intercept were 0?
  5. How do you find the x-intercept of this line?

Tip: When identifying the slope and y-intercept from an equation, always ensure it is in the form y=mx+by = mx + b to easily pick out the values of mm and bb.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 7-9