Find the equation of the line with slope m=1/2 that contains the point (4,6)
1 answer:
Answer:
y = 1/2x + 4
Step-by-step explanation:
Use the formula for the equation of a line.
y = mx + b
Where m is the slope, and b is the y-intercept.
The slope is given.
y = 1/2x + b
The points (x, y) are given.
(4, 6)
Put y as 6 and x as 4, solve for b.
6 = 1/2(4) + b
6 = 2 + b
6 - 2 = b
4 = b
The y-intercept is 4 or (0, 4).
The equation of the line is y = 1/2x + 4.
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Answer:
Probability is:
Step-by-step explanation:
From a deck of 52 cards there are 26 black cards. (Spades and Clubs).
Also, there are 26 red cards. (Hearts and Diamonds).
First, we determine the probability of drawing a black card.
P(drawing a black card) =
Now, since we don't replace the drawn card, there are only 51 cards.
But the number of red cards is still 26,
∴ P(drawing a red card) =
Now, the probability of both black and red card =
Hence, the answer.