SOLUTION: Hello, I am really confused on how to answer this problem, "Write the equation of the line (in slope intercept form) that goes through the point (2,2) and is parallel to the lin

Algebra ->  Linear-equations -> SOLUTION: Hello, I am really confused on how to answer this problem, "Write the equation of the line (in slope intercept form) that goes through the point (2,2) and is parallel to the lin      Log On


   



Question 765807: Hello, I am really confused on how to answer this problem,
"Write the equation of the line (in slope intercept form) that goes through the point (2,2) and is parallel to the line 4x-2y=6"
Also how do you find the equation if you are given the points and the perpendicular equation?
Thank you so much!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation of the line (in slope intercept form) that goes through the point (2,2) and is parallel to the line 4x-2y=6"
----
Find the slope of the given equation.
2y = 4x-6
y = 2x-3
----
slope = 2
-------------
Form: y = mx+b
Solve for "b":
2 = 2*2 + b
b = -2
Equation: y = 2x-2
===============================
Also how do you find the equation if you are given the points and the perpendicular equation?
----
If you want a perpendicular equation the slope will be -1/2
Form: y = mx + b
Solve for "b":
2 = (-1/2)2 + b
2 = -1 + b
b = 3
Eqation:: y = (-1/2)x + 3
===========================
Cheers,
Stan H.
===================