Easy Algebra Step-by-Step

182 Easy Algebra Step-by-Step

Step 2. Find m.

m =

yy

xx

y 1

21 x

=

()−

()− ()

)− 4

)−(−

=

−

−

24 −

13 +

=

− 6

2

= −3

Step 3. Determine m 2.

m

(^2) m

11

3

1

3

=− =−

−

=

Exercise 16

For 1–6, indicate whether the statement is true or false.

1. The intersection of the coordinate axes is the origin.


2. (2, 3) = (3, 2)

3.

2

3

1

2

4

6

5

10

,,

2 6

⎛

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠=

⎛

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

4. The point

3

4

⎝⎝⎜⎛⎛⎝⎛ ,−^5 ⎞⎠⎟⎞⎞⎠⎠ is in quadrant II.

5. The point −−

⎛

⎝⎜

⎛⎛

⎝⎝

⎞

⎠⎟

⎞⎞

⎠⎠

2

2

2

2

, is in quadrant III.

6. The point (5, 0) is in quadrant I.

For 7–14, fi ll in the blank to make a true statement.

7. The change in y-coordinates between two points on a line is the __.


8. The change in x-coordinates between two points on a line is the __.


9. Lines that slant downward from left to right have __ slopes.


10. Lines that slant upward from left to right have __ slopes.


11. Horizontal lines have __ slope.


12. The slope of a line that is parallel to a line that has slope^2
    3

is __________.

13. The slope of a line that is perpendicular to a line that has slope^3
    4

is

__________.

14. The slope of a vertical line is __.


15. Name the ordered pair of integers corresponding to point K in the
    following coordinate plane.