q(x)=4x-3+2×7

Rewrite the function as an equation.

y=26x-37

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Simplify 26x-37.

Split the fraction 26x-37 into two fractions.

y=26×7+-37

Move the negative in front of the fraction.

y=26×7-37

y=26×7-37

Rewrite in slope-intercept form.

y=267x-37

y=267x-37

Find the values of m and b using the form y=mx+b.

m=267

b=-37

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

Slope: 267

y-intercept: -37

Slope: 267

y-intercept: -37

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=26(2)-37

Simplify the result.

Simplify the numerator.

Multiply 26 by 2.

f(2)=52-37

Subtract 3 from 52.

f(2)=497

f(2)=497

Divide 49 by 7.

f(2)=7

The final answer is 7.

7

7

The y value at x=2 is 7.

y=7

y=7

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

Replace the variable x with 0 in the expression.

f(0)=26(0)-37

Simplify the result.

Simplify the numerator.

Multiply 26 by 0.

f(0)=0-37

Subtract 3 from 0.

f(0)=-37

f(0)=-37

Move the negative in front of the fraction.

f(0)=-37

The final answer is -37.

-37

-37

The y value at x=0 is -37.

y=-37

y=-37

Create a table of the x and y values.

xy0-3727

xy0-3727

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

Slope: 267

y-intercept: -37

xy0-3727

Graph q(x)=4x-(3+2x)/7