Answer:
D. 4.9
Explanation:
Draw a right triangle using the line you were given as the hypotenuse of the triangle. Do this by first drawing the line. Drop a line straight down from the point 0,5. Also draw a straight horizontal line using the point 6, -1
You'll find that those two lines cross each other at the point 0, -1
Your right angle will be at this point of intersection.
Since you have a right triangle, now you can use the pythagorean equation to find the length of your line. You can determine the length of both legs of your triangle by using the point at your right angle ( 0 , -1 )
The first leg starts at ( 0, -1 ) and ends at ( 0, 5). This line is 6 units long.
The other leg starts at ( 0, -1 ) and ends at ( 6, - 1 ). This line is 6 units long.
Pythagorean equation is a² + b² = c² or 6² + 6² = c² or 36 + 36 = c²
c² = 72 so c = the square root of 72 which is 8.48
Rounded to the nearest tenth is 4.9