Graph f(x)=3/2x-2

Math
f(x)=32x-2
Rewrite the function as an equation.
y=3×2-2
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps…
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=32
b=-2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 32
y-intercept: -2
Slope: 32
y-intercept: -2
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Tap for more steps…
Choose 0 to substitute in for x to find the ordered pair.
Tap for more steps…
Replace the variable x with 0 in the expression.
f(0)=3(0)2-2
Simplify the result.
Tap for more steps…
Multiply 3 by 0.
f(0)=02-2
Divide 0 by 2.
f(0)=0-2
Subtract 2 from 0.
f(0)=-2
The final answer is -2.
-2
-2
The y value at x=0 is -2.
y=-2
y=-2
Choose 2 to substitute in for x to find the ordered pair.
Tap for more steps…
Replace the variable x with 2 in the expression.
f(2)=3(2)2-2
Simplify the result.
Tap for more steps…
Multiply 3 by 2.
f(2)=62-2
Divide 6 by 2.
f(2)=3-2
Subtract 2 from 3.
f(2)=1
The final answer is 1.
1
1
The y value at x=2 is 1.
y=1
y=1
Create a table of the x and y values.
xy0-221
xy0-221
Graph the line using the slope and the y-intercept, or the points.
Slope: 32
y-intercept: -2
xy0-221
Graph f(x)=3/2x-2

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top