SOLUTION: Draw the graph for the following equation . Y=4-3x, x-5=3y , -=========== == Which equation? 2 are shown. Don't say "the following equation" then post 2 equations.

Algebra ->  Coordinate-system -> SOLUTION: Draw the graph for the following equation . Y=4-3x, x-5=3y , -=========== == Which equation? 2 are shown. Don't say "the following equation" then post 2 equations.       Log On


   



Question 1105412: Draw the graph for the following equation . Y=4-3x, x-5=3y ,
-==============
Which equation? 2 are shown.
Don't say "the following equation" then post 2 equations.

Found 3 solutions by greenestamps, KMST, Alan3354:
Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


Put both equations in slope-intercept form (i.e., solve for y)

(1) y = -3x+4 --> y-intercept 4; slope -3
(2) y = (1/3)x-5/3 --> y-intercept -5/3; slope 1/3

Here is a graph (1) red line, (2) green line:

graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-3x%2B4%2C%281%2F3%29x-5%2F3%29

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
In general, to graph an equation relating x and y, you could
1) tabulate values of one variable as a function of the other,
2) plot the (x,y) value pairs, and
3) connect the plotted points with smooth lines.
For example, we can tabulate (x,y value pairs for red%28x-5=3y%29<-->{{red({x=3y+5)}}} ,
by choosing values for y, and calculating the corresponding values for x:
gives you the points red%28P%29%22%28+5+%2C+0+%29%22 , red%28Q%29%22%28+2+%2C+-1+%29%22 , and red%28R%29%22%28+-1+%2C+-2+%29%22 .

In the case of blue%28y=4-3x%29 and red%28x-5=3y%29 ,
it is only necessary to plot two points for each equation,
because they are linear relations.

Explanation:
If an equation relating x and y
does not have any :fancy functions" or exponents affecting x or y,
and the two variables (x and y) are not multiplied together,
the relation is a linear relation.
A linear relation graphs as a straight line
,
and two points determine a straight line.

Points for blue%28y=4-3x%29 :
For x=0 , y=4 , giving you point blue%28S%29%22%28+0+%2C+4+%29%22 .
For x=2 , y=4-3%2A2=4-6=-2 , giving you point blue%28T%29%22%28+2+%2C+-2+%29%22 .

Graphing:


Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Draw the graph for the following equation . Y=4-3x, x-5=3y ,
-==============
Which equation? 2 are shown.
----
PS Get your head out of your ass.
Don't say "the following equation" then post 2 equations.