Graph the linear equation by finding and plotting its intercept. -x+2y=6
1 answer:
Answer:
y-intercept: (0,3)
x-intercept: (-6,0)
Step-by-step explanation:
put equation into y=mx+b
-x+2y=6 (add x to both sides)
2y=6+x (divide both sides by 2)
y=.5x+3
find y-intercept
set x=0
solve for y, y=3
y-intercept (0,3)
find x-intercept
set y=0
solve for x, x=-6
x-intercept (-6,0)
graph and table confirm values
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Answer:
A) The coordinates of the fourth vertex are:
1) x-coordinate:
2) y-coordinate:
B) The point of intersection of the diagonals is:
Step-by-step explanation:
We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.
The midpoint formula is:
Since:
We can find the coordinates of the fourth vertex through these procedure:
1) x-coordinate:
2) y-coordinate:
Therefore, fourth vertex is
Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that ), this is:
Therefore, the point of intersection of the diagonals is
