Question

Match each number to its correct letter.

1. m = -4 and contains the point (0,2)
2. m = 0 and contains the point (0,2)
3. m = 2, b = -4
4. m = 2 and contains the point (0,4)

a. y = 2x - 4
b. y = 2x + 4
c. y = 2
d. y = -4x + 2

Answer 1

Answers:
1. d
2. c
3. a
4. b

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Explanations:

The general slope intercept form is y = mx+b
m = slope
b = y intercept

So if we're told that the slope is m = -4 and the y intercept is b = 2, then y = mx+b turns into y = -4x+2. Saying "the y intercept is b = 2" is the same as saying "the y intercept is (0,2)". So that explains why 1 matches with d.

2 matches with c because y = 2 is the same as y = 0x+2. Often the equation is simplified as much as possible. It may not be obvious after simplifying how to go from y = 2 to y = 0x+2

3 matches with 'a' for similar reasons as above. In this case m = 2 and b = -4 leads to y = 2x+(-4) which becomes y = 2x-4

4 matches with b for similar reasons as above.