# Graph (3x)/2+2 3×2+2
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=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.
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=3(0)2+2
Simplify the result.
Multiply 3 by 0.
f(0)=02+2
Divide 0 by 2.
f(0)=0+2
Add 0 and 2.
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.
Replace the variable x with 2 in the expression.
f(2)=3(2)2+2
Simplify the result.
Multiply 3 by 2.
f(2)=62+2
Divide 6 by 2.
f(2)=3+2
Add 3 and 2.
f(2)=5
The final answer is 5.
5
5
The y value at x=2 is 5.
y=5
y=5
Create a table of the x and y values.
xy0225
xy0225
Graph the line using the slope and the y-intercept, or the points.
Slope: 32
y-intercept: 2
xy0225
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