SOLUTION: -3x+5y=-5 graphing the linear equation by solving for y first What are the line coordinates and how do I check my work Thank you for your help. gibbyjsb22

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: -3x+5y=-5 graphing the linear equation by solving for y first What are the line coordinates and how do I check my work Thank you for your help. gibbyjsb22      Log On


   



Question 685701: -3x+5y=-5
graphing the linear equation by solving for y first
What are the line coordinates and how do I check my work
Thank you for your help.
gibbyjsb22

Found 2 solutions by mananth, ReadingBoosters:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
-3 x + 5 y = -5
y= 3/ 5 x -1
3x-y=8 6x-2y=8
Assume values of x and plug in the equation to get values of y.
Plot the points
x 0 5 10
y= -1 2 5
(x,y) ( 0 , -1 ),( 5 , 2 ),( 10 5 )



Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
-3x+5y=-5
Three Steps
...
Step One: solve for y
5y = 3x - 5 ==> divide both sides by 5
y = %283%2F5%29x+-+1
...
Step Two: Find intercepts (these will provide two line coordinates, which you can draw a line through for the graph)
y intercept
Comparing to the y=mx+b (slope intercept) format, the y intercept is -1;
therefore, plot (0, - 1)
x intercept
Set the equation equal to 0 (or the y value as zero) and solve for x
0 = %283%2F5%29x+-+1
1 = 3%2F5x
x=5%2F3
therefore, plot (5%2F3, 0)
...
Step Three: Find more line coordinates
Choose any value for x and then solve for y, these are additional line coordinates.
If you choose x = 5
y = %283%2F5%29%285%29+-+1+=+2
plot (5, 2)
If you choose x = -1
y = %283%2F5%29%28-1%29+-+1+=+%28-3%2F5%29+-+1+=+%28-3%2F5%29+-+1%285%2F5%29+=+-8%2F5
plot (-1, -8%2F5)
..............................
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