-15x+5y=-35

Add 15x to both sides of the equation.

5y=-35+15x

Divide each term by 5 and simplify.

Divide each term in 5y=-35+15x by 5.

5y5=-355+15×5

Cancel the common factor of 5.

Cancel the common factor.

5y5=-355+15×5

Divide y by 1.

y=-355+15×5

y=-355+15×5

Simplify each term.

Divide -35 by 5.

y=-7+15×5

Cancel the common factor of 15 and 5.

Factor 5 out of 15x.

y=-7+5(3x)5

Cancel the common factors.

Factor 5 out of 5.

y=-7+5(3x)5(1)

Cancel the common factor.

y=-7+5(3x)5⋅1

Rewrite the expression.

y=-7+3×1

Divide 3x by 1.

y=-7+3x

y=-7+3x

y=-7+3x

y=-7+3x

y=-7+3x

y=-7+3x

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

y=mx+b

Reorder -7 and 3x.

y=3x-7

y=3x-7

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

m=3

b=-7

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

Slope: 3

y-intercept: -7

Slope: 3

y-intercept: -7

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)-7

Simplify the result.

Multiply 3 by 2.

f(2)=6-7

Subtract 7 from 6.

f(2)=-1

The final answer is -1.

-1

-1

The y value at x=2 is -1.

y=-1

y=-1

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)-7

Simplify the result.

Multiply 3 by 3.

f(3)=9-7

Subtract 7 from 9.

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.

xy2-132

xy2-132

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

Slope: 3

y-intercept: -7

xy2-132

Graph -15x+5y=-35