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
