y=56x+5

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=5

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

Slope: 56

y-intercept: 5

Slope: 56

y-intercept: 5

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+5

Simplify the result.

Multiply 5 by 0.

f(0)=06+5

Divide 0 by 6.

f(0)=0+5

Add 0 and 5.

f(0)=5

The final answer is 5.

5

5

The y value at x=0 is 5.

y=5

y=5

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+5

Simplify the result.

Multiply 5 by 1.

f(1)=56+5

To write 5 as a fraction with a common denominator, multiply by 66.

f(1)=56+5⋅66

Combine 5 and 66.

f(1)=56+5⋅66

Combine the numerators over the common denominator.

f(1)=5+5⋅66

Simplify the numerator.

Multiply 5 by 6.

f(1)=5+306

Add 5 and 30.

f(1)=356

f(1)=356

The final answer is 356.

356

356

The y value at x=1 is 356.

y=356

y=356

Create a table of the x and y values.

xy051356

xy051356

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

Slope: 56

y-intercept: 5

xy051356

Graph y=5/6x+5