# Graph f(x)=5/4x f(x)=54x
Rewrite the function as an equation.
y=5×4
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of m and b using the form y=mx+b.
m=54
b=0
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 54
y-intercept: 0
Slope: 54
y-intercept: 0
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=5(0)4
Simplify the result.
Cancel the common factor of 0 and 4.
Factor 4 out of 5(0).
f(0)=4(5⋅(0))4
Cancel the common factors.
Factor 4 out of 4.
f(0)=4(5⋅(0))4(1)
Cancel the common factor.
f(0)=4(5⋅(0))4⋅1
Rewrite the expression.
f(0)=5⋅(0)1
Divide 5⋅(0) by 1.
f(0)=5⋅(0)
f(0)=5⋅(0)
f(0)=5⋅(0)
Multiply 5 by 0.
f(0)=0
The final answer is 0.
0
0
The y value at x=0 is 0.
y=0
y=0
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=5(1)4
Simplify the result.
Multiply 5 by 1.
f(1)=54
The final answer is 54.
54
54
The y value at x=1 is 54.
y=54
y=54
Create a table of the x and y values.
xy00154
xy00154
Graph the line using the slope and the y-intercept, or the points.
Slope: 54
y-intercept: 0
xy00154
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