# Graph y=-4/3x-8 y=-43x-8
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=-43
b=-8
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -43
y-intercept: -8
Slope: -43
y-intercept: -8
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)=-4(0)3-8
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 3.
Factor 3 out of 4(0).
f(0)=-3(4⋅(0))3-8
Cancel the common factors.
Factor 3 out of 3.
f(0)=-3(4⋅(0))3(1)-8
Cancel the common factor.
f(0)=-3(4⋅(0))3⋅1-8
Rewrite the expression.
f(0)=-4⋅(0)1-8
Divide 4⋅(0) by 1.
f(0)=-(4⋅(0))-8
f(0)=-(4⋅(0))-8
f(0)=-(4⋅(0))-8
Multiply 4 by 0.
f(0)=-0-8
Multiply -1 by 0.
f(0)=0-8
f(0)=0-8
Subtract 8 from 0.
f(0)=-8
The final answer is -8.
-8
-8
The y value at x=0 is -8.
y=-8
y=-8
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=-4(3)3-8
Simplify the result.
Simplify each term.
Cancel the common factor of 3.
Cancel the common factor.
f(3)=-4⋅33-8
Divide 4 by 1.
f(3)=-1⋅4-8
f(3)=-1⋅4-8
Multiply -1 by 4.
f(3)=-4-8
f(3)=-4-8
Subtract 8 from -4.
f(3)=-12
The final answer is -12.
-12
-12
The y value at x=3 is -12.
y=-12
y=-12
Create a table of the x and y values.
xy0-83-12
xy0-83-12
Graph the line using the slope and the y-intercept, or the points.
Slope: -43
y-intercept: -8
xy0-83-12
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