Answer
L' (5, -1)
M' (8, -3)
N' (1, -8)
The sketch of this rotated triangle is presented below
Explanation
Rotating a given coordinate A(x, y) 90° about the origin in the clockwise direction gives a new coordinate A'(y, -x)
So, for each of these,
L (1, 5) → L' (5, -1)
M (3, 8) → M' (8, -3)
N (8, 1) → N' (1, -8)
So, to draw this image, we will mark this new rotated points on the graph, then connect the points to form triangle L'M'N'.
The sketch of this rotated triangle is presented above under 'Answer'
Hope this Helps!!!
Answer:
x=-2+3t , y=-9-10t
Step-by-step explanation:
I'm going to start by solving the first equation for t....which will give (x-x1)/(x2-x1) =t.
You can now substitute this in the second equation to get....y=y1 + (y2-y1)(x-x1)/(x2-x1)
Rearranging, you get y-y1 = (y2-y1) / (x2-x1) * (x-x1) which is equivalent to y-y1= m(x-x1) which is the point-slope formula for a line.
So since t was varying between 0 and 1,
plugging in t=0 you get x=x1 and y = y1 givin you the coordinate (x1,y1)
similarly, plugging in t=1 leads to (x2,y2)
So this is a representation of a segment connecting these 2 points.
B) just plug in the points into your given formula from part a to get...
x=-2 +(1--2)t and y = 9 +(-1-9)t
or x=-2+3t , y=-9-10t
Step-by-step explanation: