SOLUTION: How do I find the slope, x-intercept, and y-intervept of x-3y=6?

Algebra ->  Coordinate-system -> SOLUTION: How do I find the slope, x-intercept, and y-intervept of x-3y=6?       Log On


   

Question 1058788: How do I find the slope, x-intercept, and y-intervept of x-3y=6?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x+-+3y+=+6+
Subtract +x+ from both sides
+-3y+=+-x+%2B+6+
Divide both sides by +-3+
+y+=+%281%2F3%29%2Ax+-+2+
This is in the form
+y+=+mx+%2B+b+
+m+ = slope
+b+ = y-intercept
------------------------
The slope is 1/3
The y-intercept is ( 0, -2 )
----------------------------
To find x-intercept, make +y+=+0+
+0+=+%281%2F3%29%2Ax+-+2+
+%281%2F3%29%2Ax+=+2+
+x+=+6+
The x-intercept is ( 6, 0 )
--------------------------
Here's the plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F3%29%2Ax+-+2+%29+