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:

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

Using the point-slope equation:

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