SOLUTION: How do you graph this pair of points and what is the slope (2,3)(-5,-3) How do you graph this equation and what is the y-intercept? y+x=-7 Can you help me to solve this equ

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: How do you graph this pair of points and what is the slope (2,3)(-5,-3) How do you graph this equation and what is the y-intercept? y+x=-7 Can you help me to solve this equ      Log On


   

Question 237464: How do you graph this pair of points and what is the slope
(2,3)(-5,-3)
How do you graph this equation and what is the y-intercept?
y+x=-7
Can you help me to solve this equation
8x-(4x+6)=14
the solution is x=
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(2,3)(-5,-3)
Y=mX+b
m=slope=(y2-y1)/x2-x1)=(-3-3)/(-5-2)=-6/-7=6/7 is the slope.
3=6/7*2+b
3=12/7+b
b=3-12/7
b=21/7-12/7=9/7 is the y intercept.
y=6x/7+9/7
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+6x%2F7+%2B9%2F7%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, 6x/7 +9/7).
y+x=-7
y=-x-7
+graph%28+300%2C+200%2C+-8%2C+5%2C+-10%2C+10%2C+-x+-7%29+ (graph 300x200 pixels, x from -8 to 5, y from -10 to 10, -x -7).
8x-(4x+6)=14
8x-4x-6=14
4x=14+6
4x=20
x=20/4
x=5 ans.
Proof:
8*5-(4*5+6)=14
40-(20+6)=14
40-26=14
14=14