Line Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Write the equation of a line with slope m=2m = 2 and y-intercept b=−3b = -3.

Solution

  1. 1
    Step 1: The slope-intercept form of a line is y=mx+by = mx + b.
  2. 2
    Step 2: Substitute m=2m = 2 and b=−3b = -3.
  3. 3
    Step 3: The equation is y=2x−3y = 2x - 3.

Answer

y=2x−3y = 2x - 3
In y=mx+by = mx + b, mm is the slope (rise over run) and bb is where the line crosses the y-axis. A line extends infinitely in both directions — every point on it satisfies this equation.

About Line

A perfectly straight path extending infinitely in both directions through two distinct points, with no thickness.

Learn more about Line →

More Line Examples

Example 2 medium

Find the slope of the line passing through points [formula] and [formula].

Example 3 easy

What is the slope of a horizontal line? What is the slope of a vertical line?

Example 4 hard

Line [formula]: [formula]. Line [formula]: [formula]. Are these lines perpendicular? Justify your an

← All Line Examples Line Concept

Related Concepts

PointPlane