What is the equation in point slope form of the line that passes through the point (1, −2) and has a slope of 3? a. y−1=3(x+2) b. y−2=3(x+1) c. y+1=3(x−2) d. y+2=3(x−1)

All we have to do is get y alone and input our values to see if it makes the statement true.

y - 1 = 3(x + 2)
Add 1 to both sides.
y = 3x + 7

y = 3(1) + 7
y = 3 + 7
y = 10

FALSE

y - 2 = 3(x + 1)
Add 2 to both sides.
y = 3x + 3

y = 3(1) + 3
y = 3 + 3
y = 6

FALSE

y + 1 = 3(x - 2)
Subtract 1 from both sides.
y = 3x - 7

y = 3(1) - 7
y = 3 - 7
y = -4

FALSE

y + 2 = 3(x - 1)
Subtract 2 from both sides.
y = 3x -5

y = 3(1) - 5
y = 3 - 5
y = -2

TRUE

The only equation that makes this statement true is D, y + 2 = 3(x - 1).

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