Question

none of these30. What is an equation for the line that passes through points (1, -3) and (7,9)?A. (y + 3) = -2(x - 1)C. (-3) = 2(x + 1)B. (-3) = -2(x + 1)D. (y + 3) = 2(x - 1)

Answer 1

Let:

`\begin{gathered} (x1,y1)=(1,-3) \\ (x2,y2)=(7,9) \end{gathered}`

the slope m is given by:

`\begin{gathered} m=(y2-y1)/(x2-x1) \\ m=(9-(-3))/(7-1) \\ m=(12)/(6) \\ m=2 \end{gathered}`

Using the point-slope equation:

`\begin{gathered} y-y1=m(x-x1) \\ y-(-3)=2(x-1) \\ (y+3)=2(x-1) \end{gathered}`