y=23⋅(x+5)+2

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=23

b=163

The slope of the line is the value of m, and the y-intercept is the value of b.

Slope: 23

y-intercept: 163

Slope: 23

y-intercept: 163

Choose 1 to substitute in for x to find the ordered pair.

Replace the variable x with 1 in the expression.

f(1)=2(1)3+163

Simplify the result.

Multiply 2 by 1.

f(1)=23+163

Combine the numerators over the common denominator.

f(1)=2+163

Add 2 and 16.

f(1)=183

Divide 18 by 3.

f(1)=6

The final answer is 6.

6

6

The y value at x=1 is 6.

y=6

y=6

Choose 0 to substitute in for x to find the ordered pair.

Replace the variable x with 0 in the expression.

f(0)=2(0)3+163

Simplify the result.

Multiply 2 by 0.

f(0)=03+163

Combine the numerators over the common denominator.

f(0)=0+163

Add 0 and 16.

f(0)=163

The final answer is 163.

163

163

The y value at x=0 is 163.

y=163

y=163

Create a table of the x and y values.

xy016316

xy016316

Graph the line using the slope and the y-intercept, or the points.

Slope: 23

y-intercept: 163

xy016316

Graph y=2/3*(x+5)+2