SOLUTION: Write each equation in slope intercept form. Then graph the line described by the equation. The equation is 2y=4x+6 & the other equation is 3y+2x=12. Help please, and thank yo

Algebra ->  Equations -> SOLUTION: Write each equation in slope intercept form. Then graph the line described by the equation. The equation is 2y=4x+6 & the other equation is 3y+2x=12. Help please, and thank yo      Log On


   



Question 834001: Write each equation in slope intercept form. Then graph the line described by the equation. The equation is 2y=4x+6 & the other equation is 3y+2x=12.
Help please, and thank you in advanced.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
2y=4x%2B6
2y%2F2=%284x%2B6%29%2F2
highlight%28y=2x%2B3%29
That's the slope-intercept form showing that
the intercept with the y-axis is at point (0,3),
and the slope is 2 . meaning that as x increases by 1 , y increases by 2 ,
from (0,3) to (1,5), and then to (2,7).


3y%2B2x=12
3y=-2x%2B12
3y%2F3=%28-2x%2B12%29%2F3
y=%28-2%2F3%29x%2B12%2F4
highlight%28y=%28-2%2F3%29x%2B3%29
The intercept with the y-axis is at point (0,3),
and the slope is -2%2F3 , meaning that the increases of y and x are in the ratio of -2%2F3 .
That means that as x increases by 3 , y decreases by 2 ,
from (0,3) to (3,1), and then to (6,-1).