Graph f(x)=5/4x-5/2

f(x)=54x-52
Rewrite the function as an equation.
y=5×4-52
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=-52
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 54
y-intercept: -52
Slope: 54
y-intercept: -52
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 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=5(2)4-52
Simplify the result.
Multiply 5 by 2.
f(2)=104-52
Cancel the common factor of 10 and 4.
Factor 2 out of 10.
f(2)=2(5)4-52
Cancel the common factors.
Factor 2 out of 4.
f(2)=2⋅52⋅2-52
Cancel the common factor.
f(2)=2⋅52⋅2-52
Rewrite the expression.
f(2)=52-52
f(2)=52-52
f(2)=52-52
Combine the numerators over the common denominator.
f(2)=5-52
Subtract 5 from 5.
f(2)=02
Divide 0 by 2.
f(2)=0
0
0
The y value at x=2 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)4-52
Simplify the result.
Multiply 5 by 1.
f(1)=54-52
To write -52 as a fraction with a common denominator, multiply by 22.
f(1)=54-52⋅22
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 52 and 22.
f(1)=54-5⋅22⋅2
Multiply 2 by 2.
f(1)=54-5⋅24
f(1)=54-5⋅24
Combine the numerators over the common denominator.
f(1)=5-5⋅24
Simplify the numerator.
Multiply -5 by 2.
f(1)=5-104
Subtract 10 from 5.
f(1)=-54
f(1)=-54
Move the negative in front of the fraction.
f(1)=-54
-54
-54
The y value at x=1 is -54.
y=-54
y=-54
Create a table of the x and y values.
xy1-5420
xy1-5420
Graph the line using the slope and the y-intercept, or the points.
Slope: 54
y-intercept: -52
xy1-5420
Graph f(x)=5/4x-5/2