Find the length of a line segment ---
CD with endpoint C at (-3, 1) ad endpoint D at (5, 6). round your answer to the nearest tenth, if necessary.
A. 9.4
B. 5.4
C. 3.6 ]
D. 11.7
Find the midpoint of a segment FG with point F at (-6, 4) and midpoint G at (8, -2)
A. (-7, 3)
B. (7, -3)
C. (1, 1)
D. (-1, -1)
Find the slope of a line that passes through (-2, -3) and (1, 1)
A. 1/1
B. 1
C. 2
D. 4/3
but what is the answer Steve? thats PLEASE HELPS question
C'mon, guy, you gonna do any of the work? I gave you the numbers -- can't you at least do the evaluation?
√((5+3)^2+(6-1)^2) = √(8^2+5^2) = √(64+25) = √89 = 9.4
So, (A)
Now you try the others.
To find the length of a line segment, you can use the distance formula. The distance formula calculates the distance between two points (x1, y1) and (x2, y2) in a coordinate plane.
For the first question, you need to find the length of the line segment CD with endpoint C at (-3, 1) and endpoint D at (5, 6).
To find the length of CD, you can use the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) = (-3, 1) and (x2, y2) = (5, 6).
Plugging in the values into the formula, we get:
d = √((5 - (-3))^2 + (6 - 1)^2)
= √((5 + 3)^2 + (6 - 1)^2)
= √(8^2 + 5^2)
= √(64 + 25)
= √89
≈ 9.4
Therefore, the length of the line segment CD is approximately 9.4. Hence, the correct answer is A. 9.4.
Moving on to the second question, you need to find the midpoint of the segment FG with point F at (-6, 4) and midpoint G at (8, -2).
To find the midpoint of FG, you can use the midpoint formula:
(x, y) = ((x1 + x2)/2, (y1 + y2)/2)
Where (x1, y1) = (-6, 4) and (x2, y2) = (8, -2).
Plugging in the values into the formula, we get:
(x, y) = ((-6 + 8)/2, (4 + (-2))/2)
= (2/2, 2/2)
= (1, 1)
Therefore, the midpoint of the segment FG is (1, 1). Hence, the correct answer is C. (1, 1).
Lastly, for the third question, you need to find the slope of the line that passes through (-2, -3) and (1, 1).
To find the slope of a line, you can use the slope formula:
m = (y2 - y1)/(x2 - x1)
Where (x1, y1) = (-2, -3) and (x2, y2) = (1, 1).
Plugging in the values into the formula, we get:
m = (1 - (-3))/(1 - (-2))
= (1 + 3)/(1 + 2)
= 4/3
Therefore, the slope of the line passing through (-2, -3) and (1, 1) is 4/3. Hence, the correct answer is D. 4/3.
CD is just the hypotenuse of a right triangle. Its length is
√((5+3)^2+(6-1)^2)
The midpoint's coordinates are just the average of the ends:
((-6+8)/2,(4-2)/2)
slope is just ∆y/∆x, or
(1+3)/(1+2)