# Graph y=-2/3x+7 y=-23x+7
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=7
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -23
y-intercept: 7
Slope: -23
y-intercept: 7
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)=-2(3)3+7
Simplify the result.
Simplify each term.
Cancel the common factor of 3.
Cancel the common factor.
f(3)=-2⋅33+7
Divide 2 by 1.
f(3)=-1⋅2+7
f(3)=-1⋅2+7
Multiply -1 by 2.
f(3)=-2+7
f(3)=-2+7
f(3)=5
5
5
The y value at x=3 is 5.
y=5
y=5
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+7
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 3.
Factor 3 out of 2(0).
f(0)=-3(2⋅(0))3+7
Cancel the common factors.
Factor 3 out of 3.
f(0)=-3(2⋅(0))3(1)+7
Cancel the common factor.
f(0)=-3(2⋅(0))3⋅1+7
Rewrite the expression.
f(0)=-2⋅(0)1+7
Divide 2⋅(0) by 1.
f(0)=-(2⋅(0))+7
f(0)=-(2⋅(0))+7
f(0)=-(2⋅(0))+7
Multiply 2 by 0.
f(0)=-0+7
Multiply -1 by 0.
f(0)=0+7
f(0)=0+7
f(0)=7
7
7
The y value at x=0 is 7.
y=7
y=7
Create a table of the x and y values.
xy0735
xy0735
Graph the line using the slope and the y-intercept, or the points.
Slope: -23
y-intercept: 7
xy0735
Graph y=-2/3x+7     