# Graph -9x+3y=-42 -9x+3y=-42
Solve for y.
Add 9x to both sides of the equation.
3y=-42+9x
Divide each term by 3 and simplify.
Divide each term in 3y=-42+9x by 3.
3y3=-423+9×3
Cancel the common factor of 3.
Cancel the common factor.
3y3=-423+9×3
Divide y by 1.
y=-423+9×3
y=-423+9×3
Simplify each term.
Divide -42 by 3.
y=-14+9×3
Cancel the common factor of 9 and 3.
Factor 3 out of 9x.
y=-14+3(3x)3
Cancel the common factors.
Factor 3 out of 3.
y=-14+3(3x)3(1)
Cancel the common factor.
y=-14+3(3x)3⋅1
Rewrite the expression.
y=-14+3×1
Divide 3x by 1.
y=-14+3x
y=-14+3x
y=-14+3x
y=-14+3x
y=-14+3x
y=-14+3x
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 -14 and 3x.
y=3x-14
y=3x-14
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=3
b=-14
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 3
y-intercept: -14
Slope: 3
y-intercept: -14
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 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=3(3)-14
Simplify the result.
Multiply 3 by 3.
f(3)=9-14
Subtract 14 from 9.
f(3)=-5
-5
-5
The y value at x=3 is -5.
y=-5
y=-5
Choose 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=3(2)-14
Simplify the result.
Multiply 3 by 2.
f(2)=6-14
Subtract 14 from 6.
f(2)=-8
-8
-8
The y value at x=2 is -8.
y=-8
y=-8
Create a table of the x and y values.
xy2-83-5
xy2-83-5
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
y-intercept: -14
xy2-83-5
Graph -9x+3y=-42     