# Graph y=-4/3x-5 y=-43x-5
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=-5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -43
y-intercept: -5
Slope: -43
y-intercept: -5
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)3-5
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))3-5
Cancel the common factors.
Factor 3 out of 3.
f(0)=-3(4⋅(0))3(1)-5
Cancel the common factor.
f(0)=-3(4⋅(0))3⋅1-5
Rewrite the expression.
f(0)=-4⋅(0)1-5
Divide 4⋅(0) by 1.
f(0)=-(4⋅(0))-5
f(0)=-(4⋅(0))-5
f(0)=-(4⋅(0))-5
Multiply 4 by 0.
f(0)=-0-5
Multiply -1 by 0.
f(0)=0-5
f(0)=0-5
Subtract 5 from 0.
f(0)=-5
The final answer is -5.
-5
-5
The y value at x=0 is -5.
y=-5
y=-5
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)3-5
Simplify the result.
Simplify each term.
Cancel the common factor of 3.
Cancel the common factor.
f(3)=-4⋅33-5
Divide 4 by 1.
f(3)=-1⋅4-5
f(3)=-1⋅4-5
Multiply -1 by 4.
f(3)=-4-5
f(3)=-4-5
Subtract 5 from -4.
f(3)=-9
The final answer is -9.
-9
-9
The y value at x=3 is -9.
y=-9
y=-9
Create a table of the x and y values.
xy0-53-9
xy0-53-9
Graph the line using the slope and the y-intercept, or the points.
Slope: -43
y-intercept: -5
xy0-53-9
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