Question

Question 7 of 42What is the slope of the line represented by the equation y- 6 = 2(x + 3)?

Answer 1

Given:

There are given the equation:

`y-6=2(x+3)`

Step-by-step explanation:

According to the question, we need to find the value for slope, which means the value for m.

Then,

First, we need to solve the above-given equation and then write the equation into the slope-intercept form.

So,

From the equation:

`\begin{gathered} y-6=2(x+3) \\ y-6=2x+6 \end{gathered}`

Then,

We need to write the above result into the slope-intercept form:

So,

Add 6 on both sides of the given equation.

Then,

From the equation:

`\begin{gathered} y-6=2x+6 \\ y-6+6=2x+6+6 \\ y=2x+12 \end{gathered}`

Now,

We need to match the given equation with a standard form of the slope-intercept equation:

Then,

From the standard form of the slope-intercept equation:

`y=mx+b`

Where

m represents the slope.

So,

After matching the equation with the standard form,

The value of the slope is:

`m=2`

Final answer:

Hence, the value of the slope is shown below:

`m=2`