Question

What is the equation for the line in slope intercept formEnter your answer in the box

Answer 1

Hello!

First, let's write two points that this line passes through:

• A = (-4, 4)

,

• B = (-2, 0)

Now, we will have to use the formula below to calculate the slope:

`\text{Slope}=(y_B-y_A)/(x_B-x_A)`

So, let's replace the values in the formula:

`\text{Slope}=\frac{0_{}-4_{}}{-2-(-4)}=(-4)/(-2+4)=(-4)/(2)=-2`

As we know the slope, we have to calculate the y-intercept.

We can use the slope-intercept form to obtain it:

`\begin{gathered} y=mx+b \\ -2=-2\cdot0+b \\ -2=b \\ b=-2 \end{gathered}`

So, we know that:

• Slope: -2

,

• Y-intercept: -2

Let's write the equation of the line in slope-intercept form:

`\begin{gathered} y=mx+b \\ y=-2x-2 \end{gathered}`

Answer:

y = -2x -2