Lines in the Plane (Intercepts)

Michigan State University - Diagnostic Exam

Where does the line in the sketch below intersect the y-axis?

a) 18 b) -2 c) -3 d) -6 e) -14

Solution:

The slope of the line is $Δy--= 18---(14)-= - 2 Δx - 12 - 4$ .

Since the y-intercept has coordinates (0, b), it follows that

- 2 = b --(--14)- ⇒ b = - 6 0 - 4

Diagnostic:

If you miss this question please review slopes and y-intercepts of lines in the plane.

July 15, 2008