Question

Please send help!!! i need help on this and a few others!!

Answer 1

Given

`\begin{gathered} P(0,-4) \\ Q(5,1) \end{gathered}`

Solution

Step 1

Find the slope

Formula

`\begin{gathered} \text{Slope (M)=}(y_2-y_1)/(x_2-x_1) \\ \end{gathered}`

Given

`\begin{gathered} x_1=0_{} \\ x_2=\text{ 5} \\ y_1=\text{ -4} \\ y_2=\text{ 1} \end{gathered}`
`\text{Slope (M)=}(1-(-4))/(5-0)=(5)/(5)=1`

Step 2

Find the equation of a line

`\begin{gathered} y-y_1=m(x-x_1) \\ \end{gathered}`

We can choose any point either P or Q

`\begin{gathered} P(0,-4) \\ x_1=0 \\ y_1=-4 \end{gathered}`
`\begin{gathered} y-y_1=m(x-x_1) \\ y-(-4)=1(x-0) \\ y+4=x \\ y=x-4 \end{gathered}`

The final answer

`y=x-4`