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)
Accepted Solution
A:
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).