# Graph y+1=1/2*(x+3) y+1=12⋅(x+3)
Move all terms not containing y to the right side of the equation.
Subtract 1 from both sides of the equation.
y=x2+32-1
To write -1 as a fraction with a common denominator, multiply by 22.
y=x2+32-1⋅22
Combine -1 and 22.
y=x2+32+-1⋅22
Combine the numerators over the common denominator.
y=x2+3-1⋅22
Simplify the numerator.
Multiply -1 by 2.
y=x2+3-22
Subtract 2 from 3.
y=x2+12
y=x2+12
y=x2+12
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=12
b=12
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 12
y-intercept: 12
Slope: 12
y-intercept: 12
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)=12+12
Simplify the result.
Combine the numerators over the common denominator.
f(1)=1+12
Add 1 and 1.
f(1)=22
Divide 2 by 2.
f(1)=1
The final answer is 1.
1
1
The y value at x=1 is 1.
y=1
y=1
Choose 3 to substitute in for x to find the ordered pair.
Replace the variable x with 3 in the expression.
f(3)=32+12
Simplify the result.
Combine the numerators over the common denominator.
f(3)=3+12
Add 3 and 1.
f(3)=42
Divide 4 by 2.
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.
xy1132
xy1132
Graph the line using the slope and the y-intercept, or the points.
Slope: 12
y-intercept: 12
xy1132
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