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  1. Home
  2. 12th grade
  3. Precalculus
  4. Exercise : Find the slope of a linear function from its equation

Find the slope of a linear function from its equation Precalculus

Find the slope of the following linear functions.

f\left(x\right)=3x-1

The slope-intercept form of a linear function is:

f\left(x\right)=mx+b

Where:

  • m is the slope (constant rate of change).
  • b is the y-intercept of the graph associated with this function.

The given function is:

f\left(x\right)=3x-1

The coefficient of x is 3.

The slope of f is 3.

f\left(x\right)=-2x+4

The slope-intercept form of a linear function is:

f\left(x\right)=mx+b

Where:

  • m is the slope (constant rate of change).
  • b is the y-intercept of the graph associated with this function.

The given function is:

f\left(x\right)=-2x+4

The coefficient of x is -2.

The slope of f is -2.

f\left(x\right)=4x

The slope-intercept form of a linear function is:

f\left(x\right)=mx+b

Where:

  • m is the slope (constant rate of change).
  • b is the y-intercept of the graph associated with this function.

The given function is:

f\left(x\right)=4x

The coefficient of x is 4.

The slope of f is 4.

f\left(x\right)=7

The slope-intercept form of a linear function is:

f\left(x\right)=mx+b

Where:

  • m is the slope (constant rate of change).
  • b is the y-intercept of the graph associated with this function.

The given function is:

f\left(x\right)=7

The coefficient of x is 0.

The slope of f is 0.

f\left(x\right)=-5x+2

The slope-intercept form of a linear function is:

f\left(x\right)=mx+b

Where:

  • m is the slope (constant rate of change).
  • b is the y-intercept of the graph associated with this function.

The given function is:

f\left(x\right)=-5x+2

The coefficient of x is -5.

The slope of f is -5.

f\left(x\right)=-x+3

The slope-intercept form of a linear function is:

f\left(x\right)=mx+b

Where:

  • m is the slope (constant rate of change).
  • b is the y-intercept of the graph associated with this function.

The given function is:

f\left(x\right)=-x+3

The coefficient of x is -1.

The slope of f is -1.

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See also
  • Course : Linear functions
  • Exercise : Determine the equation of a linear function from two points
  • Exercise : Find the equation of a linear function from a graph
  • Exercise : Graph a linear function from its equation
  • Exercise : Find the x- and y- intercepts of a linear function from its graph
  • Exercise : Find the equation of a vertical line
  • Exercise : Solve linear inequalities with graphs
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