Linear Functions Math Example 5

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

Example 5

hard
Convert 3x+2y=123x + 2y = 12 to slope-intercept form.

Solution

  1. 1
    Subtract 3x3x: 2y=−3x+122y = -3x + 12.
  2. 2
    Divide by 2: y=−32x+6y = -\frac{3}{2}x + 6.

Answer

y=−32x+6y = -\frac{3}{2}x + 6
To convert from standard form Ax+By=CAx + By = C to slope-intercept form, isolate yy by moving the xx-term and dividing by the coefficient of yy.

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 1 easy

Write the equation of a line with slope [formula] and [formula]-intercept [formula].

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]?

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