# Graph 2x-2y+5=0 2x-2y+5=0
Solve for y.
Move all terms not containing y to the right side of the equation.
Subtract 2x from both sides of the equation.
-2y+5=-2x
Subtract 5 from both sides of the equation.
-2y=-2x-5
-2y=-2x-5
Divide each term by -2 and simplify.
Divide each term in -2y=-2x-5 by -2.
-2y-2=-2x-2+-5-2
Cancel the common factor of -2.
Cancel the common factor.
-2y-2=-2x-2+-5-2
Divide y by 1.
y=-2x-2+-5-2
y=-2x-2+-5-2
Simplify each term.
Cancel the common factor of -2.
Cancel the common factor.
y=-2x-2+-5-2
Divide x by 1.
y=x+-5-2
y=x+-5-2
Dividing two negative values results in a positive value.
y=x+52
y=x+52
y=x+52
y=x+52
Use the slope-intercept form to find the slope and y-intercept.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
y=mx+b
Find the values of m and b using the form y=mx+b.
m=1
b=52
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: 52
Slope: 1
y-intercept: 52
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 0 to substitute in for x to find the ordered pair.
Replace the variable x with 0 in the expression.
f(0)=(0)+52
Simplify the result.
Add 0 and 52.
f(0)=52
The final answer is 52.
52
52
The y value at x=0 is 52.
y=52
y=52
Choose 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=(1)+52
Simplify the result.
Write 1 as a fraction with a common denominator.
f(1)=22+52
Combine the numerators over the common denominator.
f(1)=2+52
Add 2 and 5.
f(1)=72
The final answer is 72.
72
72
The y value at x=1 is 72.
y=72
y=72
Create a table of the x and y values.
xy052172
xy052172
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: 52
xy052172
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