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

What is the equation for the line in slope intercept formEnter your answer in the-example-1
User Zada Zorg
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1 Answer

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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

User Speckpgh
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