y=-65x+1

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

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

Add 0 and 1.

f(0)=1

The final answer is 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

Add -6 and 5.

f(1)=-15

Move the negative in front of the fraction.

f(1)=-15

The final answer is -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