2x-2y+5=0

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

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

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

Graph 2x-2y+5=0