# Graph 5x-5y=25 5x-5y=25
Solve for y.
Subtract 5x from both sides of the equation.
-5y=25-5x
Divide each term by -5 and simplify.
Divide each term in -5y=25-5x by -5.
-5y-5=25-5+-5x-5
Cancel the common factor of -5.
Cancel the common factor.
-5y-5=25-5+-5x-5
Divide y by 1.
y=25-5+-5x-5
y=25-5+-5x-5
Simplify each term.
Divide 25 by -5.
y=-5+-5x-5
Cancel the common factor of -5.
Cancel the common factor.
y=-5+-5x-5
Divide x by 1.
y=-5+x
y=-5+x
y=-5+x
y=-5+x
y=-5+x
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 -5 and x.
y=x-5
y=x-5
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=1
b=-5
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: -5
Slope: 1
y-intercept: -5
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 2 to substitute in for x to find the ordered pair.
Replace the variable x with 2 in the expression.
f(2)=(2)-5
Simplify the result.
Subtract 5 from 2.
f(2)=-3
The final answer is -3.
-3
-3
The y value at x=2 is -3.
y=-3
y=-3
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=(3)-5
Simplify the result.
Subtract 5 from 3.
f(3)=-2
The final answer is -2.
-2
-2
The y value at x=3 is -2.
y=-2
y=-2
Create a table of the x and y values.
xy2-33-2
xy2-33-2
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: -5
xy2-33-2
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