Question

How do I find the values for x and y using m=3 and (1,-4), (x,5), (-2,y)

Answer 1

\[\frac{5-(-4)}{x-1}=3\]

Answer 2

\[\frac{9}{x-1}=\frac{3}{1}\]

Answer 3

\[3x-3=9\]

Answer 4

\[x=4\]

Answer 5

Now, can you find y in the same way?

Answer 6

the way I would answer this question, is to find the equation of the line.
We are given the slope and a point (slope, m=3) and point (1,-4)
See http://www.khanacademy.org/video/equation-of-a-line-1?topic=core-algebra

once I found the equation, I would plug in numbers to find an x or y.
In this case, the equation of the line is
y = 3x-7

to find y in the pair (-2,y)
replace x with -2 in the equation: y= 3*-2 - 7
to find x in the pair (x,5), replace y with 5: 5=3x-7
and solve for x. If you do not know how to solve an equation see

http://www.khanacademy.org/video/simple-equations?topic=core-algebra
and following couple of videos