-3x-3y=-15

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

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

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

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

Graph -3x-3y=-15