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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. ...?

Verified Answer :

vanessa61

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

nobillionaireNobley

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

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