# Graph -9x+3y=-14 -9x+3y=-14
Solve for y.
Add 9x to both sides of the equation.
3y=-14+9x
Divide each term by 3 and simplify.
Divide each term in 3y=-14+9x by 3.
3y3=-143+9×3
Cancel the common factor of 3.
Cancel the common factor.
3y3=-143+9×3
Divide y by 1.
y=-143+9×3
y=-143+9×3
Simplify each term.
Move the negative in front of the fraction.
y=-143+9×3
Cancel the common factor of 9 and 3.
Factor 3 out of 9x.
y=-143+3(3x)3
Cancel the common factors.
Factor 3 out of 3.
y=-143+3(3x)3(1)
Cancel the common factor.
y=-143+3(3x)3⋅1
Rewrite the expression.
y=-143+3×1
Divide 3x by 1.
y=-143+3x
y=-143+3x
y=-143+3x
y=-143+3x
y=-143+3x
y=-143+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 -143 and 3x.
y=3x-143
y=3x-143
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=-143
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 3
y-intercept: -143
Slope: 3
y-intercept: -143
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=3(1)-143
Simplify the result.
Multiply 3 by 1.
f(1)=3-143
To write 3 as a fraction with a common denominator, multiply by 33.
f(1)=3⋅33-143
Combine 3 and 33.
f(1)=3⋅33-143
Combine the numerators over the common denominator.
f(1)=3⋅3-143
Simplify the numerator.
Multiply 3 by 3.
f(1)=9-143
Subtract 14 from 9.
f(1)=-53
f(1)=-53
Move the negative in front of the fraction.
f(1)=-53
-53
-53
The y value at x=1 is -53.
y=-53
y=-53
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)-143
Simplify the result.
Multiply 3 by 2.
f(2)=6-143
To write 6 as a fraction with a common denominator, multiply by 33.
f(2)=6⋅33-143
Combine 6 and 33.
f(2)=6⋅33-143
Combine the numerators over the common denominator.
f(2)=6⋅3-143
Simplify the numerator.
Multiply 6 by 3.
f(2)=18-143
Subtract 14 from 18.
f(2)=43
f(2)=43
43
43
The y value at x=2 is 43.
y=43
y=43
Create a table of the x and y values.
xy1-53243
xy1-53243
Graph the line using the slope and the y-intercept, or the points.
Slope: 3
y-intercept: -143
xy1-53243
Graph -9x+3y=-14     