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ryzh [129]
3 years ago
8

Which equation in point-slope form contains the point (2, 3) and has slope 2?

Mathematics
1 answer:
sergiy2304 [10]3 years ago
6 0
------------------------------------------------------
Option A
------------------------------------------------------

------------------------------------------------------
Check if slope = 2
------------------------------------------------------
y + 2 = 2(x + 3)
y + 1 = 2x + 6
y = 2x + 6 - 1
y = 2x + 5

Slope = 2 

Answer:  Yes, Slope is 2

------------------------------------------------------
Check if it passed through (2, 3)
------------------------------------------------------
When x = 2
y = 2(2) + 5
y = 9

Answer: No, it does not passed through (2, 3)

------------------------------------------------------
Option B
------------------------------------------------------

------------------------------------------------------
Check if Slope is 2
------------------------------------------------------
y - 3 = 2(x - 2)
y - 3 = 2x  - 4
y = 2x - 4 + 3
y = 2x - 1
Slope = 2

Ans : Yes, slope is 2.

------------------------------------------------------
Check if it passed through (2, 3)
------------------------------------------------------
when x = 2
y = 2(2) - 1
y = 4 - 1
y = 3

Answer : Yes, it passed through (2, 3)

------------------------------------------------------
Answer: (B) <span>y – 3 = 2(x – 2)
</span>------------------------------------------------------
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