# Graph f(x)=5/3x-4 f(x)=53x-4
Rewrite the function as an equation.
y=5×3-4
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=53
b=-4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 53
y-intercept: -4
Slope: 53
y-intercept: -4
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 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=5(3)3-4
Simplify the result.
Multiply 5 by 3.
f(3)=153-4
Divide 15 by 3.
f(3)=5-4
Subtract 4 from 5.
f(3)=1
1
1
The y value at x=3 is 1.
y=1
y=1
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)3-4
Simplify the result.
Multiply 5 by 0.
f(0)=03-4
Divide 0 by 3.
f(0)=0-4
Subtract 4 from 0.
f(0)=-4
-4
-4
The y value at x=0 is -4.
y=-4
y=-4
Create a table of the x and y values.
xy0-431
xy0-431
Graph the line using the slope and the y-intercept, or the points.
Slope: 53
y-intercept: -4
xy0-431
Graph f(x)=5/3x-4     