Question

I need the answers please show work so I don’t fail

Answer 1

- The way to solve the question is that we should substitute the values of x and y given into the formula given to us.

- The formula given to us is:

`\begin{gathered} y-y_1=m(x-x_1) \\ where, \\ (x_1,y_1)\text{ are the points given to us} \\ m\text{ is the slope} \end{gathered}`

- Thus, we can solve the question as follows:

Question 1:

`\begin{gathered} m=5 \\ x_1=3,y_1=6 \\ \\ \text{ Thus, the equation is:} \\ y-6=5(x-3) \end{gathered}`

Question 2:

`\begin{gathered} m=(2)/(7) \\ x_1=-5,y_1=4 \\ \\ \text{ Thus, the equation is:} \\ y-4=(2)/(7)(x-(-6)) \\ \\ y-4=(2)/(7)(x+6) \end{gathered}`

Question 3:

`\begin{gathered} m=-(3)/(2) \\ x_1=-7,y_1=-10 \\ \\ \text{ Thus, the equation is:} \\ y-(-10)=-(3)/(2)(x-(-7)) \\ \\ y+10=-(3)/(2)(x+7) \end{gathered}`

Final Answer

Question 1:

`y-6=5(x-3)`

Question 2:

`y-4=(2)/(7)(x+6)`

Question 3:

`y+10=-(3)/(2)(x+7)`