Answer:
a) m = -6/5
b) m = -5/6
Step-by-step explanation:
The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.
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The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.
The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then
s^2 = 72
s = 6 sqrt(2)
Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square)
c^2 = a^2 + b^2
Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72
The length of the longest line is 72.
To get from C(-1, 4) to C'(-3,0), we must subtract the x value by -2. This gets us -3 (-1-2=-3). To get from 4 to 0, we must subtract the y-values by 4. This gets us a translation of 2 left and 4 down or T₋₂,₋₄
Answer: I think the answer is C
