SOLUTION: Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.

Algebra ->  Systems-of-equations -> SOLUTION: Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.       Log On


   



Question 170569: Find the equation, in slope-intercept form, of the line that passes through the points (5, 2) and (-7, 3). Write the equation in slope-intercept form.


Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
we must find the slope first for points (5,2),(-7,3). change in y over change in x.
:
3-2/-7-5=-1/12 which is the slope. Now according to point slope formula, which states y-k=m(x-h) where m is the slope and (h,k) is any point on the line, we have y-2=-1/12(x-5)...using point (5,2)...now we must distribute and put this in y=mx+b format. y-2=-1/12x+5/12--->multiply each term by 12
:
12y-24=-x+5--->add x and add 24 to both sides
:
highlight%28x%2B12y=29%29