# Graph q(x)=4x-(3+2x)/7 q(x)=4x-3+2×7
Rewrite the function as an equation.
y=26x-37
Rewrite in slope-intercept form.
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
Use the slope-intercept form to find the slope and y-intercept.
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
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
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
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
-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     