Linear Functions Math Example 1

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Example 1

easy
Write the equation of a line with slope 22 and yy-intercept −3-3.

Solution

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

Answer

y=2x−3y = 2x - 3
In slope-intercept form y=mx+by = mx + b, the parameter mm is the slope (rate of change) and bb is the yy-intercept (the value of yy when x=0x = 0).

About Linear Functions

A function whose graph is a straight line, characterized by a constant rate of change between any two points.

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More Linear Functions Examples

Example 2 medium

Find the equation of the line through [formula] and [formula].

Example 3 medium

Write the equation of a line with slope [formula] that passes through [formula].

Example 4 easy

What are the slope and [formula]-intercept of [formula]?

Example 5 hard

Convert [formula] to slope-intercept form.

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