Question

Write each equation in slope-intercept form by following the steps below.

1. y = 2 + 4(x - 3)
a. Distribute 4 through the parentheses.
y=2 +
b. Simplify by combining like terms.
c. Is the equation in the form y = mx + b?
If not, rewrite it.

Answer 1

Given:

The equation is

`y=2+4(x-3)`

To find:

The slope intercept form of the given equation.

Solution:

We have,

`y=2+4(x-3)`

Step a: Distribute 4 through the parentheses.

`y=2+4(x)+4(-3)`

`y=2+4x-12`

Step b: Simplify by combining like terms.

`y=4x+(2-12)`

`y=4x-10`

Step c: Is the equation in the form
`y = mx + b`? If not, rewrite it.

The equation
`y=4x-10` in the form of
`y = mx + b`.

Therefore, the slope intercept form of the given equation is
`y=4x-10`.