# Graph y=-5/6x+3 y=-56x+3
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=-56
b=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -56
y-intercept: 3
Slope: -56
y-intercept: 3
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)6+3
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 6.
Factor 6 out of 5(0).
f(0)=-6(5⋅(0))6+3
Cancel the common factors.
Factor 6 out of 6.
f(0)=-6(5⋅(0))6(1)+3
Cancel the common factor.
f(0)=-6(5⋅(0))6⋅1+3
Rewrite the expression.
f(0)=-5⋅(0)1+3
Divide 5⋅(0) by 1.
f(0)=-(5⋅(0))+3
f(0)=-(5⋅(0))+3
f(0)=-(5⋅(0))+3
Multiply 5 by 0.
f(0)=-0+3
Multiply -1 by 0.
f(0)=0+3
f(0)=0+3
f(0)=3
3
3
The y value at x=0 is 3.
y=3
y=3
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-5(1)6+3
Simplify the result.
Multiply 5 by 1.
f(1)=-56+3
To write 3 as a fraction with a common denominator, multiply by 66.
f(1)=-56+3⋅66
Combine 3 and 66.
f(1)=-56+3⋅66
Combine the numerators over the common denominator.
f(1)=-5+3⋅66
Simplify the numerator.
Multiply 3 by 6.
f(1)=-5+186
f(1)=136
f(1)=136
136
136
The y value at x=1 is 136.
y=136
y=136
Create a table of the x and y values.
xy031136
xy031136
Graph the line using the slope and the y-intercept, or the points.
Slope: -56
y-intercept: 3
xy031136
Graph y=-5/6x+3     