SOLUTION: Write an equation, in slope-intercept form if possible, of the line through the pair of points. (-7, 0) and (4, 2)

Algebra ->  Linear-equations -> SOLUTION: Write an equation, in slope-intercept form if possible, of the line through the pair of points. (-7, 0) and (4, 2)      Log On


   

Question 468042: Write an equation, in slope-intercept form if possible, of the line through the pair of points.
(-7, 0) and (4, 2)
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

(-7, 0) and 

(4, 2)  m = -2/-11 = 2/11

Using the standard slope-intercept form for an equation of a line y = mx + b  where m is the slope and b the y-intercept.  

 y = (2/11)x + b   |Using ordered pair (4,2) to solve for b

 2 = (2/11)*4 + b

14/11 = b

    9/6 = 3/2 = b

 y = (2/11)x + 14/11