2x-4y=-12

Subtract 2x from both sides of the equation.

-4y=-12-2x

Divide each term by -4 and simplify.

Divide each term in -4y=-12-2x by -4.

-4y-4=-12-4+-2x-4

Cancel the common factor of -4.

Cancel the common factor.

-4y-4=-12-4+-2x-4

Divide y by 1.

y=-12-4+-2x-4

y=-12-4+-2x-4

Simplify each term.

Divide -12 by -4.

y=3+-2x-4

Cancel the common factor of -2 and -4.

Factor -2 out of -2x.

y=3+-2(x)-4

Cancel the common factors.

Factor -2 out of -4.

y=3+-2(x)-2(2)

Cancel the common factor.

y=3+-2x-2⋅2

Rewrite the expression.

y=3+x2

y=3+x2

y=3+x2

y=3+x2

y=3+x2

y=3+x2

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

y=mx+b

Reorder 3 and x2.

y=x2+3

Rewrite in slope-intercept form.

y=12x+3

y=12x+3

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

m=12

b=3

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

Slope: 12

y-intercept: 3

Slope: 12

y-intercept: 3

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

Replace the variable x with 0 in the expression.

f(0)=02+3

Simplify the result.

Divide 0 by 2.

f(0)=0+3

Add 0 and 3.

f(0)=3

The final answer is 3.

3

3

The y value at x=0 is 3.

y=3

y=3

Choose 2 to substitute in for x to find the ordered pair.

Replace the variable x with 2 in the expression.

f(2)=22+3

Simplify the result.

Divide 2 by 2.

f(2)=1+3

Add 1 and 3.

f(2)=4

The final answer is 4.

4

4

The y value at x=2 is 4.

y=4

y=4

Create a table of the x and y values.

xy0324

xy0324

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

Slope: 12

y-intercept: 3

xy0324

Graph 2x-4y=-12