Question

6. Write the equation for the line: (Hint: there are two points given to you!) 13 peworld packel Brad

Answer 1

Since the question does not give us the two points, we will assume those values as shown below:

`\begin{gathered} (x_1,y_1)=(2,4) \\ (x_2,y_2)=(5,0) \end{gathered}`

We proceed to calculate the slope:

`\begin{gathered} slope(m)=(y_2-y_1)/(x_2-x_1)=(0-4)/(5-2)=-(4)/(3) \\ slope(m)=-(4)/(3) \end{gathered}`

The next step is to use the point-slope equation to solve for the equation:

`\begin{gathered} y-y_1=m(x-x_1) \\ (x_(1,)y_1)=(2,4) \\ y-4=-(4)/(3)(x-2) \\ y=-(4)/(3)x+(8)/(3)+4\Rightarrow y=-(4)/(3)x+(20)/(3) \\ y=-(4)/(3)x+(20)/(3) \end{gathered}`