SOLUTION: Could you please help me write an equation and graph it for this problem, then maybe I can figure out the rest of the problems? m=2 ( 7 , 6 )

Algebra ->  Equations -> SOLUTION: Could you please help me write an equation and graph it for this problem, then maybe I can figure out the rest of the problems? m=2 ( 7 , 6 )       Log On


   



Question 189797: Could you please help me write an equation and graph it for this problem, then maybe I can figure out the rest of the problems?
m=2 ( 7 , 6 )

Found 2 solutions by josmiceli, jojo14344:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
They are giving you the slope of a line and a point on that line.
That is enough data to define the line.
The general formula is:
%28y+-+y%5B1%5D%29+%2F+%28x+-+x%5B1%5D%29+=+m
-----------------
m = 2
(7,6)
%28y+-+6%29+%2F+%28x+-+7%29+=+2
Multiply both sides by x+-+7
y+-+6+=+2%2A%28x+-+7%29
y+-+6+=+2x+-+14
Add 6 to both sides
y+=+2x+-+8
The graph is:
+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x+-+8%29+

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Via Slope-Intercept Form,y=mx%2Bb thru point (7,6) with Slope=m=2:

6=2%2A7%2Bb
6=14%2Bb
b=6-14=red%28-8%29, y-Intercept

Then it follows ----> y=2x-8 or -2x+y+8=0 Standard Form

Find x- Intercept:

Let Fy=0
0=2x-8 ---> 2x=8 ----> cross%282%29x%2Fcross%282%29=cross%288%294%2Fcross%282%29
red%28x=4%29, x-Intercept


Thank you,
Jojo