SOLUTION: find an equation of the line containing the given pair of points. (-5,-4) and (-1,-6). The equation of the line in slope intercept form is y=?

Algebra ->  Graphs -> SOLUTION: find an equation of the line containing the given pair of points. (-5,-4) and (-1,-6). The equation of the line in slope intercept form is y=?      Log On


   

Question 410607: find an equation of the line containing the given pair of points.
(-5,-4) and (-1,-6).
The equation of the line in slope intercept form is y=?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

(-5,-4) and 

(-1,-6)  m = 2/-4 = -1/2

 



  y = (-1/2)x + b   |using ordered pair Pt(-5,-4) to solve for b

 -4 = (-1/2)*5 + b

 -8/2 + 5/2 = b

  -3/2 = b

 y =   y = (-1/2)x -3/2  | The equation of the line in slope-intercept form

  y-intercept Pt(0,-3/2)

 m = -1/2: as y increases/decreases by 1, x increases/decreases by 2 in opposite direction

              Pt(-2,-1/2) and Pt(2,-5/2) on the Line