Question

Part 1: Write the equation of the line that passes through the points (–1, –4) and (2, 5).

Part 2: Using complete sentences, explain whether or not it matters which point is used in the final answer. Also explain why you chose the point you did. ...?

Answer 1

slope is important; so lets find it; subtract points and stack y/x (2 , 5) (–1, –4) ------- 3 , 9 ; slope = 9/3 = 3 the equation of the line is: y = mx -mPx + Py , where (Px,Py) is any point that is given

and m=slope :) y = 3x -3(2)+5 y = 3x -6+5 y = 3x -1

Answer 2

y - (-4) = (5 - (-4))/(2 - (-1)) (x - (-1))
y + 4 = (5 + 4)/(2 + 1) (x + 1)
y + 4 = 9/3 (x + 1)
y + 4 = 3(x + 1)
y + 4 = 3x + 3
y = 3x + 3 - 4
y = 3x - 1