Which equation in point-slope form contains the point (2, 3) and has slope 2? a. y + 2 = 2(x + 3) b. y – 3 = 2(x – 2) c. y – 2 = 2(x – 3) d. y + 3 = 2(x + 2)

Option A



Check if slope = 2

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

Slope = 2 

  Yes, Slope is 2


Check if it passed through (2, 3)

When x = 2
y = 2(2) + 5
y = 9

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)


(B) y – 3 = 2(x – 2)