y-(-3)=23⋅(x-6)

Subtract 3 from both sides of the equation.

y=2×3-4-3

Subtract 3 from -4.

y=2×3-7

y=2×3-7

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=-7

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

Slope: 23

y-intercept: -7

Slope: 23

y-intercept: -7

Choose 3 to substitute in for x to find the ordered pair.

Replace the variable x with 3 in the expression.

f(3)=2(3)3-7

Simplify the result.

Multiply 2 by 3.

f(3)=63-7

Divide 6 by 3.

f(3)=2-7

Subtract 7 from 2.

f(3)=-5

The final answer is -5.

-5

-5

The y value at x=3 is -5.

y=-5

y=-5

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)3-7

Simplify the result.

Multiply 2 by 0.

f(0)=03-7

Divide 0 by 3.

f(0)=0-7

Subtract 7 from 0.

f(0)=-7

The final answer is -7.

-7

-7

The y value at x=0 is -7.

y=-7

y=-7

Create a table of the x and y values.

xy0-73-5

xy0-73-5

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

Slope: 23

y-intercept: -7

xy0-73-5

Graph y-(-3)=2/3*(x-6)