SOLUTION: Can someone help me with this math problem please? Question : A right triangle is formed by the x-axis, the y-axis and the line y=-2x+3. Find the length of the hypotenuse. Round

Algebra ->  Points-lines-and-rays -> SOLUTION: Can someone help me with this math problem please? Question : A right triangle is formed by the x-axis, the y-axis and the line y=-2x+3. Find the length of the hypotenuse. Round      Log On


   

Question 917337: Can someone help me with this math problem please?
Question : A right triangle is formed by the x-axis, the y-axis and the line y=-2x+3. Find the length of the hypotenuse. Round your answer to the nearest hundredth.
Thank you.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
For this line y = -2x +3, then
the y intercept is 3 and the point is (0, 3)
solve line for x,
subtract 3 from both sides of =
-2x = y -3
divide both sides of = by -2
x = -y/2 +3/2
the x intercept is 3/2 and the point is (3/2, 0)
we want the distance(d) between these two points
d = square root( (3/2 - 0)^2 + (0 - 3)^2 )
d = square root ( 45/4 ) = 3.354101966 approx 3.35
here is a graph of the line y = -2x +3
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B3%29+