# Graph y=-6/5x+1

y=-65x+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=-65
b=1
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -65
y-intercept: 1
Slope: -65
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)=-6(0)5+1
Simplify the result.
Simplify each term.
Cancel the common factor of 0 and 5.
Factor 5 out of 6(0).
f(0)=-5(6⋅(0))5+1
Cancel the common factors.
Factor 5 out of 5.
f(0)=-5(6⋅(0))5(1)+1
Cancel the common factor.
f(0)=-5(6⋅(0))5⋅1+1
Rewrite the expression.
f(0)=-6⋅(0)1+1
Divide 6⋅(0) by 1.
f(0)=-(6⋅(0))+1
f(0)=-(6⋅(0))+1
f(0)=-(6⋅(0))+1
Multiply 6 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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=-6(1)5+1
Simplify the result.
Multiply 6 by 1.
f(1)=-65+1
Simplify the expression.
Write 1 as a fraction with a common denominator.
f(1)=-65+55
Combine the numerators over the common denominator.
f(1)=-6+55
f(1)=-6+55
f(1)=-15
Move the negative in front of the fraction.
f(1)=-15
-15
-15
The y value at x=1 is -15.
y=-15
y=-15
Create a table of the x and y values.
xy011-15
xy011-15
Graph the line using the slope and the y-intercept, or the points.
Slope: -65
y-intercept: 1
xy011-15
Graph y=-6/5x+1