# Graph y=-5/3x+1 y=-53x+1
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=-53
b=1
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -53
y-intercept: 1
Slope: -53
y-intercept: 1
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)=-5(0)3+1
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 3.
Factor 3 out of 5(0).
f(0)=-3(5⋅(0))3+1
Cancel the common factors.
Factor 3 out of 3.
f(0)=-3(5⋅(0))3(1)+1
Cancel the common factor.
f(0)=-3(5⋅(0))3⋅1+1
Rewrite the expression.
f(0)=-5⋅(0)1+1
Divide 5⋅(0) by 1.
f(0)=-(5⋅(0))+1
f(0)=-(5⋅(0))+1
f(0)=-(5⋅(0))+1
Multiply 5 by 0.
f(0)=-0+1
Multiply -1 by 0.
f(0)=0+1
f(0)=0+1
f(0)=1
1
1
The y value at x=0 is 1.
y=1
y=1
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=-5(3)3+1
Simplify the result.
Simplify each term.
Cancel the common factor of 3.
Cancel the common factor.
f(3)=-5⋅33+1
Divide 5 by 1.
f(3)=-1⋅5+1
f(3)=-1⋅5+1
Multiply -1 by 5.
f(3)=-5+1
f(3)=-5+1
f(3)=-4
-4
-4
The y value at x=3 is -4.
y=-4
y=-4
Create a table of the x and y values.
xy013-4
xy013-4
Graph the line using the slope and the y-intercept, or the points.
Slope: -53
y-intercept: 1
xy013-4
Graph y=-5/3x+1     