y=56x-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=56

b=-1

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 56

y-intercept: -1

Slope: 56

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)=5(0)6-1

Simplify the result.

Multiply 5 by 0.

f(0)=06-1

Divide 0 by 6.

f(0)=0-1

Subtract 1 from 0.

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)=5(1)6-1

Simplify the result.

Multiply 5 by 1.

f(1)=56-1

To write -1 as a fraction with a common denominator, multiply by 66.

f(1)=56-1⋅66

Combine -1 and 66.

f(1)=56+-1⋅66

Combine the numerators over the common denominator.

f(1)=5-1⋅66

Simplify the numerator.

Multiply -1 by 6.

f(1)=5-66

Subtract 6 from 5.

f(1)=-16

f(1)=-16

Move the negative in front of the fraction.

f(1)=-16

The final answer is -16.

-16

-16

The y value at x=1 is -16.

y=-16

y=-16

Create a table of the x and y values.

xy0-11-16

xy0-11-16

Graph the line using the slope and the y-intercept, or the points.

Slope: 56

y-intercept: -1

xy0-11-16

Graph y=5/6x-1