7/12, 0.75, 5/6 is the answer.
The equation of the line that is parallel to the given line, through the given point is y = -5x - 7
Given equation,
y = -5x + 1
Slope = m
= -5
For two lines to be parallel, slope is equal.
Therefore, m = -5 for another line.
Let the equation of the line be y = mx + c
This line passes through A(-2,3)
Therefore, 3 = -5(-2) + c
3 = 10 + c
c = 3 - 10
= -7
Hence, equation of line is y = -5x - 7.
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Part a)There are 4 outcomes on spinning the first wheel and 2 outcomes on spinning the second wheel. So the tree diagram will have 4 nodes at the start and each of these 4 nodes will be further divided into 2 nodes. First 4 nodes show the possible outcomes on spinning of first wheel and next nodes show for every possible outcome on spinning of first wheel there can be 2 possible outcomes of the second wheel. The tree diagram is attached below:
Part b)Total possible outcomes of first wheel = 4
Favorable outcome is getting a 2. So number of Favorable outcome = 1
Thus, probability of getting a 2 = 1/4 = 0.25
Total possible outcomes of second wheel = 2
Probability of getting an A = 1/2 = 0.5
The probability of getting either a 2 or an A = Sum of the both individual probabilities
So,
If you spin both wheels the probability that you get either a 2 or an A = 0.75