SOLUTION: Given two points through which a line passes, write the equation of each line in slope-intercept form. (2,7) and (5,3)

Algebra ->  Linear-equations -> SOLUTION: Given two points through which a line passes, write the equation of each line in slope-intercept form. (2,7) and (5,3)      Log On


   

Question 445780: Given two points through which a line passes, write the equation of each line in slope-intercept form.
(2,7) and (5,3)
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

(2,7) and 

(5,3) m = 4/-3 = -4/3

Note: 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 = -(4/3)x + b

 3 = -(4/3)*5 + b

 29/3 = b

 y = -(4/3)x + 29/3