SOLUTION: Write a system of equations that has 2 lines that intersect at (-3,7) and have (-3,7) as a solution and show me how to solve it.

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Write a system of equations that has 2 lines that intersect at (-3,7) and have (-3,7) as a solution and show me how to solve it.      Log On


   



Question 246344: Write a system of equations that has 2 lines that intersect at (-3,7) and have (-3,7) as a solution and show me how to solve it.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write a system of equations that has 2 lines that intersect at (-3,7) and have (-3,7) as a solution and show me how to solve it.
:
We can choose the slopes then use the point slope formula; y-y1 = m(x-x1)
slope of the 1st line m=3
y - 7 = 3(x - (-3))
y - 7 = 3(x + 3)
y - 7 = 3x + 9
y = 3x + 9 + 7
y = 3x + 16, 1st line equation
:
slope of the 2nd line m=-4
y - 7 = -4(x - (-3))
y - 7 = -4(x + 3)
y - 7 = -4x - 12
y = -4x - 12 + 7
y = -4x - 5, 2nd line equation
:
will look like this
+graph%28+300%2C+200%2C+-10%2C+5%2C+-10%2C+20%2C+3x%2B16%2C+-4x-5%29+