-15x+5y=75

Add 15x to both sides of the equation.

5y=75+15x

Divide each term by 5 and simplify.

Divide each term in 5y=75+15x by 5.

5y5=755+15×5

Cancel the common factor of 5.

Cancel the common factor.

5y5=755+15×5

Divide y by 1.

y=755+15×5

y=755+15×5

Simplify each term.

Divide 75 by 5.

y=15+15×5

Cancel the common factor of 15 and 5.

Factor 5 out of 15x.

y=15+5(3x)5

Cancel the common factors.

Factor 5 out of 5.

y=15+5(3x)5(1)

Cancel the common factor.

y=15+5(3x)5⋅1

Rewrite the expression.

y=15+3×1

Divide 3x by 1.

y=15+3x

y=15+3x

y=15+3x

y=15+3x

y=15+3x

y=15+3x

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

y=mx+b

Reorder 15 and 3x.

y=3x+15

y=3x+15

Find the values of m and b using the form y=mx+b.

m=3

b=15

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 3

y-intercept: 15

Slope: 3

y-intercept: 15

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=3(0)+15

Simplify the result.

Multiply 3 by 0.

f(0)=0+15

Add 0 and 15.

f(0)=15

The final answer is 15.

15

15

The y value at x=0 is 15.

y=15

y=15

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)+15

Simplify the result.

Multiply 3 by 1.

f(1)=3+15

Add 3 and 15.

f(1)=18

The final answer is 18.

18

18

The y value at x=1 is 18.

y=18

y=18

Create a table of the x and y values.

xy015118

xy015118

Graph the line using the slope and the y-intercept, or the points.

Slope: 3

y-intercept: 15

xy015118

Graph -15x+5y=75