Graph 18+3x=6y

18+3x=6y
Solve for y.
Rewrite the equation as 6y=18+3x.
6y=18+3x
Divide each term by 6 and simplify.
Divide each term in 6y=18+3x by 6.
6y6=186+3×6
Cancel the common factor of 6.
Cancel the common factor.
6y6=186+3×6
Divide y by 1.
y=186+3×6
y=186+3×6
Simplify each term.
Divide 18 by 6.
y=3+3×6
Cancel the common factor of 3 and 6.
Factor 3 out of 3x.
y=3+3(x)6
Cancel the common factors.
Factor 3 out of 6.
y=3+3×3⋅2
Cancel the common factor.
y=3+3×3⋅2
Rewrite the expression.
y=3+x2
y=3+x2
y=3+x2
y=3+x2
y=3+x2
y=3+x2
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
Reorder 3 and x2.
y=x2+3
Rewrite in slope-intercept form.
y=12x+3
y=12x+3
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=12
b=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 12
y-intercept: 3
Slope: 12
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)=02+3
Simplify the result.
Divide 0 by 2.
f(0)=0+3
Add 0 and 3.
f(0)=3
The final answer is 3.
3
3
The y value at x=0 is 3.
y=3
y=3
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=22+3
Simplify the result.
Divide 2 by 2.
f(2)=1+3
Add 1 and 3.
f(2)=4
The final answer is 4.
4
4
The y value at x=2 is 4.
y=4
y=4
Create a table of the x and y values.
xy0324
xy0324
Graph the line using the slope and the y-intercept, or the points.
Slope: 12
y-intercept: 3
xy0324
Graph 18+3x=6y