# Graph y=2/3*(x+5)+2 y=23⋅(x+5)+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=23
b=163
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 23
y-intercept: 163
Slope: 23
y-intercept: 163
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=2(1)3+163
Simplify the result.
Multiply 2 by 1.
f(1)=23+163
Combine the numerators over the common denominator.
f(1)=2+163
Add 2 and 16.
f(1)=183
Divide 18 by 3.
f(1)=6
The final answer is 6.
6
6
The y value at x=1 is 6.
y=6
y=6
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=2(0)3+163
Simplify the result.
Multiply 2 by 0.
f(0)=03+163
Combine the numerators over the common denominator.
f(0)=0+163
Add 0 and 16.
f(0)=163
The final answer is 163.
163
163
The y value at x=0 is 163.
y=163
y=163
Create a table of the x and y values.
xy016316
xy016316
Graph the line using the slope and the y-intercept, or the points.
Slope: 23
y-intercept: 163
xy016316
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