# Graph -3x-3y=-15 -3x-3y=-15
Solve for y.
Add 3x to both sides of the equation.
-3y=-15+3x
Divide each term by -3 and simplify.
Divide each term in -3y=-15+3x by -3.
-3y-3=-15-3+3x-3
Cancel the common factor of -3.
Cancel the common factor.
-3y-3=-15-3+3x-3
Divide y by 1.
y=-15-3+3x-3
y=-15-3+3x-3
Simplify each term.
Divide -15 by -3.
y=5+3x-3
Cancel the common factor of 3 and -3.
Factor 3 out of 3x.
y=5+3(x)-3
Move the negative one from the denominator of x-1.
y=5-1⋅x
y=5-1⋅x
Rewrite -1⋅x as -x.
y=5-x
y=5-x
y=5-x
y=5-x
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 5 and -x.
y=-x+5
y=-x+5
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=-1
b=5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: -1
y-intercept: 5
Slope: -1
y-intercept: 5
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)=-(2)+5
Simplify the result.
Multiply -1 by 2.
f(2)=-2+5
Add -2 and 5.
f(2)=3
The final answer is 3.
3
3
The y value at x=2 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)=-(3)+5
Simplify the result.
Multiply -1 by 3.
f(3)=-3+5
Add -3 and 5.
f(3)=2
The final answer is 2.
2
2
The y value at x=3 is 2.
y=2
y=2
Create a table of the x and y values.
xy2332
xy2332
Graph the line using the slope and the y-intercept, or the points.
Slope: -1
y-intercept: 5
xy2332
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