y=47x-11

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=47

b=-11

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

Slope: 47

y-intercept: -11

Slope: 47

y-intercept: -11

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=4(0)7-11

Simplify the result.

Multiply 4 by 0.

f(0)=07-11

Divide 0 by 7.

f(0)=0-11

Subtract 11 from 0.

f(0)=-11

The final answer is -11.

-11

-11

The y value at x=0 is -11.

y=-11

y=-11

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=4(3)7-11

Simplify the result.

Multiply 4 by 3.

f(3)=127-11

To write -11 as a fraction with a common denominator, multiply by 77.

f(3)=127-11⋅77

Combine -11 and 77.

f(3)=127+-11⋅77

Combine the numerators over the common denominator.

f(3)=12-11⋅77

Simplify the numerator.

Multiply -11 by 7.

f(3)=12-777

Subtract 77 from 12.

f(3)=-657

f(3)=-657

Move the negative in front of the fraction.

f(3)=-657

The final answer is -657.

-657

-657

The y value at x=3 is -657.

y=-657

y=-657

Create a table of the x and y values.

xy0-113-657

xy0-113-657

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

Slope: 47

y-intercept: -11

xy0-113-657

Graph y=4/7x-11