SOLUTION: I really need some help here! Guys. Sorry to disturb you but please help me with my homework: If (1,m),(-1,1),(3,9), and (n,13) are on the same line, find m and n. *this is a

Algebra ->  Linear-equations -> SOLUTION: I really need some help here! Guys. Sorry to disturb you but please help me with my homework: If (1,m),(-1,1),(3,9), and (n,13) are on the same line, find m and n. *this is a      Log On


   



Question 391335: I really need some help here! Guys. Sorry to disturb you but please help me with my homework:
If (1,m),(-1,1),(3,9), and (n,13) are on the same line, find m and n.
*this is about missing coordinates of the line through given points that has given
the slope.
THANKS!

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
(-1,1),(3,9)
m = 9-1 /3-(-1) = 8/4 = 2/1
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 = 2x + b Using ordered pair(-1,1) to solve for b
1 = 2(-1) + b
3 = b
Equation of the line is:
+y+=+2x+%2B+3
(1,m) would be (1,5)
y = 2*1 + 3
(n,13)would be (5,13)
13 = 2x + 3
10 = 2x
5= x