Math Problem Statement

Find the slope and y-intercept of the given line, and graph it: y = 8x - 9

Solution

The problem in the image is asking to find the slope and y-intercept of the equation:

y=8x9y = 8x - 9

This equation is in slope-intercept form, y=mx+by = mx + b, where:

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

From the given equation:

  • The slope m=8m = 8.
  • The y-intercept b=9b = -9, which means the line crosses the y-axis at (0,9)(0, -9).

So:

  • The slope is 8.
  • The y-intercept is -9.

Would you like a more detailed explanation or further help with graphing this?

5 Related Questions:

  1. What is the significance of the slope in a linear equation?
  2. How can you find the x-intercept of this line?
  3. How would the graph look if the slope was negative?
  4. Can you rewrite this equation in point-slope form?
  5. What happens to the graph if the y-intercept changes?

Tip:

To graph the line, start at the y-intercept (0,9)(0, -9), and use the slope 88 to rise 8 units up for every 1 unit you move to the right.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations

Formulas

Slope-intercept form: y = mx + b

Theorems

Slope-intercept form

Suitable Grade Level

Grades 7-10