# Graph x-y=-3 x-y=-3
Solve for y.
Subtract x from both sides of the equation.
-y=-3-x
Multiply each term in -y=-3-x by -1
Multiply each term in -y=-3-x by -1.
(-y)⋅-1=(-3)⋅-1+(-x)⋅-1
Multiply (-y)⋅-1.
Multiply -1 by -1.
1y=(-3)⋅-1+(-x)⋅-1
Multiply y by 1.
y=(-3)⋅-1+(-x)⋅-1
y=(-3)⋅-1+(-x)⋅-1
Simplify each term.
Multiply -3 by -1.
y=3+(-x)⋅-1
Multiply (-x)⋅-1.
Multiply -1 by -1.
y=3+1x
Multiply x by 1.
y=3+x
y=3+x
y=3+x
y=3+x
y=3+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 3 and x.
y=x+3
y=x+3
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=3
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
y-intercept: 3
Slope: 1
y-intercept: 3
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)+3
Simplify the result.
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 1 to substitute in for x to find the ordered pair.
Replace the variable x with 1 in the expression.
f(1)=(1)+3
Simplify the result.
Add 1 and 3.
f(1)=4
The final answer is 4.
4
4
The y value at x=1 is 4.
y=4
y=4
Create a table of the x and y values.
xy0314
xy0314
Graph the line using the slope and the y-intercept, or the points.
Slope: 1
y-intercept: 3
xy0314
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