y+1=12⋅(x+3)

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

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

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

Graph y+1=1/2*(x+3)