SOLUTION: Hey my name is Andrea and I have a more question I need help with : Write the equation of a line in point slope form that goes through (2, -4) and (-1, 0). Then convert into sl

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Hey my name is Andrea and I have a more question I need help with : Write the equation of a line in point slope form that goes through (2, -4) and (-1, 0). Then convert into sl      Log On


   

Question 980768: Hey my name is Andrea and I have a more question I need help with :
Write the equation of a line in point slope form that goes through (2, -4) and (-1, 0). Then convert into slope intercept form.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
m=%280-%28-4%29%29%2F%28-1-2%29
m=-4%2F3

Pick a point given, either; and plug m and point into point-slope form equation.
y=-%284%2F3%29%28x%2B1%29, and a couple of steps were skipped, as done in the head without first writing formally into the form.

Now, continue to simplify, which would result in the slope-intercept form you wanted.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Hey my name is Andrea and I have a more question I need help with :
Write the equation of a line in point slope form that goes through (2, -4) and (-1, 0). Then convert into slope intercept form. 
m, or slope = %28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D%29

m, or slope = %28-+4+-+0%29%2F%282+-+-+1%29 ----- Substituting -+4fory%5B1%5D, 0fory%5B2%5D, 2forx%5B1%5D, and -+1forx%5B2%5D

m, or slope = %28-+4%29%2F%283%29

y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 ------------ Point-slope form:

y+-+0+=+-+%284%2F3%29%28x+-+-+1%29 ------- Substituting 0fory%5B1%5D, -+1forx%5B1%5D, and -+4%2F3form

highlight_green%28y+=+%28-+4%2F3%29x+-+4%2F3%29 ------------- Slope-intercept form