# Graph 6y-18=2x 6y-18=2x
Solve for y.
Add 18 to both sides of the equation.
6y=2x+18
Divide each term by 6 and simplify.
Divide each term in 6y=2x+18 by 6.
6y6=2×6+186
Cancel the common factor of 6.
Cancel the common factor.
6y6=2×6+186
Divide y by 1.
y=2×6+186
y=2×6+186
Simplify each term.
Cancel the common factor of 2 and 6.
Factor 2 out of 2x.
y=2(x)6+186
Cancel the common factors.
Factor 2 out of 6.
y=2×2⋅3+186
Cancel the common factor.
y=2×2⋅3+186
Rewrite the expression.
y=x3+186
y=x3+186
y=x3+186
Divide 18 by 6.
y=x3+3
y=x3+3
y=x3+3
y=x3+3
Use the slope-intercept form to find the slope and y-intercept.
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=13
b=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 13
y-intercept: 3
Slope: 13
y-intercept: 3
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 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=03+3
Simplify the result.
Divide 0 by 3.
f(0)=0+3
f(0)=3
3
3
The y value at x=0 is 3.
y=3
y=3
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=33+3
Simplify the result.
Divide 3 by 3.
f(3)=1+3
f(3)=4
4
4
The y value at x=3 is 4.
y=4
y=4
Create a table of the x and y values.
xy0334
xy0334
Graph the line using the slope and the y-intercept, or the points.
Slope: 13
y-intercept: 3
xy0334
Graph 6y-18=2x     