# Graph -20/3x-7/4

-203x-74
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=-203
b=-74
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -203
y-intercept: -74
Slope: -203
y-intercept: -74
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)=-20(0)3-74
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 3.
Factor 3 out of 20(0).
f(0)=-3(20⋅(0))3-74
Cancel the common factors.
Factor 3 out of 3.
f(0)=-3(20⋅(0))3(1)-74
Cancel the common factor.
f(0)=-3(20⋅(0))3⋅1-74
Rewrite the expression.
f(0)=-20⋅(0)1-74
Divide 20⋅(0) by 1.
f(0)=-(20⋅(0))-74
f(0)=-(20⋅(0))-74
f(0)=-(20⋅(0))-74
Multiply 20 by 0.
f(0)=-0-74
Multiply -1 by 0.
f(0)=0-74
f(0)=0-74
Subtract 74 from 0.
f(0)=-74
-74
-74
The y value at x=0 is -74.
y=-74
y=-74
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-20(1)3-74
Simplify the result.
Multiply 20 by 1.
f(1)=-203-74
To write -203 as a fraction with a common denominator, multiply by 44.
f(1)=-203⋅44-74
To write -74 as a fraction with a common denominator, multiply by 33.
f(1)=-203⋅44-74⋅33
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 203 and 44.
f(1)=-20⋅43⋅4-74⋅33
Multiply 3 by 4.
f(1)=-20⋅412-74⋅33
Multiply 74 and 33.
f(1)=-20⋅412-7⋅34⋅3
Multiply 4 by 3.
f(1)=-20⋅412-7⋅312
f(1)=-20⋅412-7⋅312
Combine the numerators over the common denominator.
f(1)=-20⋅4-7⋅312
Simplify the numerator.
Multiply -20 by 4.
f(1)=-80-7⋅312
Multiply -7 by 3.
f(1)=-80-2112
Subtract 21 from -80.
f(1)=-10112
f(1)=-10112
Move the negative in front of the fraction.
f(1)=-10112
-10112
-10112
The y value at x=1 is -10112.
y=-10112
y=-10112
Create a table of the x and y values.
xy0-741-10112
xy0-741-10112
Graph the line using the slope and the y-intercept, or the points.
Slope: -203
y-intercept: -74
xy0-741-10112
Graph -20/3x-7/4