# Graph 2x-y=2

2x-y=2
Solve for y.
Subtract 2x from both sides of the equation.
-y=2-2x
Multiply each term in -y=2-2x by -1
Multiply each term in -y=2-2x by -1.
(-y)⋅-1=2⋅-1+(-2x)⋅-1
Multiply (-y)⋅-1.
Multiply -1 by -1.
1y=2⋅-1+(-2x)⋅-1
Multiply y by 1.
y=2⋅-1+(-2x)⋅-1
y=2⋅-1+(-2x)⋅-1
Simplify each term.
Multiply 2 by -1.
y=-2+(-2x)⋅-1
Multiply -1 by -2.
y=-2+2x
y=-2+2x
y=-2+2x
y=-2+2x
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Reorder -2 and 2x.
y=2x-2
y=2x-2
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
m=2
b=-2
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 2
y-intercept: -2
Slope: 2
y-intercept: -2
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=2(1)-2
Simplify the result.
Multiply 2 by 1.
f(1)=2-2
Subtract 2 from 2.
f(1)=0
0
0
The y value at x=1 is 0.
y=0
y=0
Choose 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=2(0)-2
Simplify the result.
Multiply 2 by 0.
f(0)=0-2
Subtract 2 from 0.
f(0)=-2
-2
-2
The y value at x=0 is -2.
y=-2
y=-2
Create a table of the x and y values.
xy0-210
xy0-210
Graph the line using the slope and the y-intercept, or the points.
Slope: 2
y-intercept: -2
xy0-210
Graph 2x-y=2