Coordinate Geometry (Advanced)

Sample questions

Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.

Section A · multiple choice

1. 1.

   The slope of the line through (−5, 2) and (−4, 9) is:

   1. 1/7
   2. −7
   3. −11/9
   4. 7

   Answer

   (d) 7

   (9 − 2) ÷ (−4 − (−5)) = 7 ÷ 1 = 7

2. 2.

   P(9, 8) is reflected in the y-axis, then moved 6 units right and 4 units down. It ends at:

   1. (−4, 4)
   2. (−15, 12)
   3. (−3, 4)
   4. (15, 4)

   Answer

   (c) (−3, 4)

   reflection gives (−9, 8); then (−9 + 6, 8 − 4)

3. 3.

   A line with a negative slope:

   1. is horizontal
   2. is vertical
   3. rises from left to right
   4. falls from left to right

   Answer

   (d) falls from left to right

   the rise is negative for a positive run

Section B · short answer

1. 4.

   Find the equation, in slope-intercept form, of the line through (−5, 5) and (−3, 7). Where does it cut the y-axis?

   Answer

   y = x + 10; at (0, 10)

   m = 2 ÷ 2 = 1; c = 5 − (1) × (−5) = 10

2. 5.

   Write 4x + 8y − 7 = 0 in slope-intercept form, and give its slope and y-intercept.

   Answer

   y = −(1/2)x + 7/8; slope −1/2, y-intercept 7/8

   8y = −4x + 7, then divide by 8

Section C · long answer

1. 6.

   A line passes through (10, 3). Its x-intercept and y-intercept are both positive and add up to 24. Find all possible equations of the line in intercept form.

   Answer

   x/15 + y/9 = 1 or x/16 + y/8 = 1

   x/a + y/(24 − a) = 1 through (10, 3): a² − 31a + 240 = 0, so a = 15 or 16

Fresh sheets for your child

In the app, every Coordinate Geometry (Advanced) sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.

Coming soon for Android and iPhone.

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