SOLUTION: Find the intercepts of the equation 2x+6y=11. Write the answers as ordered pairs. All work must be shown.

Algebra ->  Linear-equations -> SOLUTION: Find the intercepts of the equation 2x+6y=11. Write the answers as ordered pairs. All work must be shown.      Log On


   

Question 728599: Find the intercepts of the equation 2x+6y=11. Write the answers as ordered pairs.
All work must be shown.
Found 2 solutions by richwmiller, MathLover1:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
let x=0 find y
let y=0 find x

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis.
Then, algebraically,
an x-intercept is a point on the graph where y+=0, and
a y-intercept is a point on the graph where x+=0
so,
2x%2B6y=11 ...if y+=0
2x%2B6%2A0=11
2x=11
x=11%2F2
x=5.5
the x-intercept is at point (5.5,0)
now find y-intercept
2x%2B6y=11 ...if x+=0
2%2A0%2B6y=11
6y=11
y=11%2F6
y=1.833
the y-intercept is at point (0,1.833)