Math Problem Statement

What is the y-intercept of the line given by the equation below? y = 8x + 7

Solution

The question asks for the y-intercept of the line given by the equation:

y=8x+7y = 8x + 7

In the slope-intercept form of a line, y=mx+by = mx + b:

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

Here, b=7b = 7. Therefore, the y-intercept is the point (0,7)(0, 7).

Correct Answer: B. (0, 7)

Let me know if you need a deeper explanation or have questions!


Related Questions:

  1. What is the slope of the line y=8x+7y = 8x + 7?
  2. How do you graph the equation y=8x+7y = 8x + 7?
  3. What is the equation of a line parallel to y=8x+7y = 8x + 7?
  4. What is the equation of a line perpendicular to y=8x+7y = 8x + 7?
  5. How do you calculate the x-intercept of the line y=8x+7y = 8x + 7?

Tip:

To find the y-intercept of any line in slope-intercept form, look at the constant term (bb). It always represents the y-intercept at x=0x = 0.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

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Suitable Grade Level

Grades 7-9