y=65x+12

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=12

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

Slope: 65

y-intercept: 12

Slope: 65

y-intercept: 12

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+12

Simplify the result.

Multiply 6 by 0.

f(0)=05+12

Divide 0 by 5.

f(0)=0+12

Add 0 and 12.

f(0)=12

The final answer is 12.

12

12

The y value at x=0 is 12.

y=12

y=12

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+12

Simplify the result.

Multiply 6 by 1.

f(1)=65+12

To write 65 as a fraction with a common denominator, multiply by 22.

f(1)=65⋅22+12

To write 12 as a fraction with a common denominator, multiply by 55.

f(1)=65⋅22+12⋅55

Write each expression with a common denominator of 10, by multiplying each by an appropriate factor of 1.

Multiply 65 and 22.

f(1)=6⋅25⋅2+12⋅55

Multiply 5 by 2.

f(1)=6⋅210+12⋅55

Multiply 12 and 55.

f(1)=6⋅210+52⋅5

Multiply 2 by 5.

f(1)=6⋅210+510

f(1)=6⋅210+510

Combine the numerators over the common denominator.

f(1)=6⋅2+510

Simplify the numerator.

Multiply 6 by 2.

f(1)=12+510

Add 12 and 5.

f(1)=1710

f(1)=1710

The final answer is 1710.

1710

1710

The y value at x=1 is 1710.

y=1710

y=1710

Create a table of the x and y values.

xy01211710

xy01211710

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

Slope: 65

y-intercept: 12

xy01211710

Graph y=6/5x+1/2