Math Problem Statement

Write the equation of the line with slope m = 7 and y-intercept b = -2.

Solution

The equation of a line in slope-intercept form is written as:

y=mx+by = mx + b

where:

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

In the image, the given values are:

  • m=7m = 7
  • b=2b = -2

Therefore, the equation of the line is:

y=7x2y = 7x - 2

Would you like any further details on this, or do you have any questions?

Here are 5 related questions:

  1. How do you determine the slope of a line from two points?
  2. What is the meaning of the y-intercept in a real-world scenario?
  3. How do parallel lines relate in terms of their slopes?
  4. How can you convert an equation from slope-intercept form to standard form?
  5. What is the equation of a line with the same slope but passing through a different point?

Tip: When writing an equation of a line, always double-check the signs of the slope and the y-intercept to avoid small errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Slope-Intercept Form

Formulas

y = mx + b

Theorems

Slope-Intercept Theorem

Suitable Grade Level

Grades 8-10