Question

The graph below shows a line segment MN: graph of line MN going through ordered pairs negative 2, 3 and 1, negative 3 Which of the following equations best represents the line segment MN?

Answer 1

The line segment goes through (-2,3) and (1,-3).

The slope of the line is
$\frac{-3-3}{1-(-2)} = \frac{-6}{3} =-2$

Therefore the equation of the line segment is of the form
y = -2x + b

Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1

Answer: The equation is y = -2x - 1