SOLUTION: find an equation of the line passing through (-4,7) and parallel to the graph of 2x+y=5. write the equation in slope intercept from.

Click here to see ALL problems on Coordinate-system

Question 261772: find an equation of the line passing through (-4,7) and parallel to the graph of 2x+y=5. write the equation in slope intercept from.
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
find an equation of the line passing through (-4,7) and parallel to the graph of 2x+y=5. write the equation in slope intercept from.
---------------------------------
The given line has slope = -2
Every line parallal to it must have a slope of -2.
---
The Form of the equation you want is y = mx + b
---
You know m = -2, and y = 7 when x = -4
So, solve for "b":
------
7 = -2*-4 + b
b = -1
------------------
Equation:
y = -2x -1
==================
Cheers,
Stan H.

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
First get in the slope intercept form

This is now in the form
where is the slope, so the slope is

Any line which is parallel to this line will also have
slope =
Now you know a point on the line you're looking for,
(-4,7), and the slope, . The correct formula to use
now is
where
,
,

answer
check answer
does it go through (-4,7)?

OK