18.a Coordinate Geometry

Question 1

What is this called?

Answer 1

The coordinate plane

Question 2

Show where point (4, 6) would be

Answer 2

Question 3

How are the quadrants dividing the coordinate plane (where are they?).

Answer 3

Quadrant 1 is the top right corner, where both x and y are positive.

Then go counter-clockwise

Question 4

Draw a line from (6, 6) to (2, 2)

Answer 4

Question 5

Is a graphed line infinite?

Answer 5

Yes! BUT…

The line extends infinitely, but the line segment is from point A to B inclusive

Question 6

How do you measure the slope of a line?

Answer 6

Rise over run

change in y / change in x

Question 7

What can the slope of a line be?

Answer 7

Positive, Negative, Zero

or undefined

Question 8

How can the slope of a line be zero?

Answer 8

If its flat (horizontally)

Question 9

How can the slope of a line be undefined?

Answer 9

If it is vertical

Question 10

A positively sloped line will always intersect quadrants __ and __

Answer 10

Quadrants 1 and 3

Question 11

What must the x intercept be for a positively sloped line to only intersect quadrants 1 and 3?

Answer 11

0

Question 12

What is the x intercept of line c?

Answer 12

POSITIVE x intercept

Question 13

A NEGATIVELY sloped line will always intersect quadrants __ and __

Answer 13

Quadrants 2 and 4

Question 14

If the negatively sloped line intersects quadrants 2, 4 and also 3, what must the x intercept be?

Answer 14

x intercept must be NEGATIVE

(line c)

Question 15

On a horizontal line, all points have the same _______ coordinate

Answer 15

On a horizontal line, all points have the same Y coordinate

Question 16

If the y intercept of a horizontal line is 0, what quadrants does it intersect?

Answer 16

NONE!

(line b)

Question 17

What does a line look like if it has an undefined slope and a negative x intercept?

Answer 17

line c

Question 18

The larger the _________________________ of the slope of the line, the ___________ the line

Answer 18

The larger the ABSOLUTE VALUE of the slope of the line, the STEEPER the line

Question 19

Which of these lines has a slope of -1/2 ?

Answer 19

Line A