Question

Hello, I am struggling with this assignment the steps are so confusing

Answer 1

We need to find the line using the given points.

First, we need to find the slope:

The slope equation is given by:

`\begin{gathered} m=(y_2-y_1)/(x_1-x_2) \\ \text{Replace using P1(-4,13) and P2(0,-3):} \\ m=(-3-(13))/(0-(-4))=(-16)/(4)=-4 \end{gathered}`

The slope is equal to 4.

Now, to find the line equation, we need to use the next equation:

`\begin{gathered} y_{}-y_1=m(x_{}-x_1) \\ \text{Replace using P1(-4,13) and m=-}4 \\ y-13=-4(x-(-4)) \\ y-13=-4(x+4) \\ y-13=-4x-16 \\ y=-4x-16+13 \\ \text{Hence, the line is:} \\ y=-4x-3 \end{gathered}`

Therefore, the correct answer is the fifth option.