Write an equation of the line passing through point p that is parallel to the given line.
1 answer:
Answer:
Step-by-step explanation:
y=-3x+13
y = mx + b, where m is the slope and b is the y-intercept.
A line parallel to this line will have the same slope, -3. We can start by writing:
y = -3x + b
No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).
Find b by entering the point (6,10) into the equation, and then solve for b:
y = -3x + b
10 = -3(6) + b
10 = -18 + b
b = 28
The line becomes y = 3x + 28
See the attachment.
You might be interested in
Answer:
The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.
Step-by-step explanation:
Here, according to the question:
Total number of yellow highlighters = 12
Total number of blue highlighters = 6
Total number of green highlighters = 4
Total number of orange highlighters = 3
So, the total number of highlighters = 12 + 6 + 4 + 3 = 25
Let E1 : Event of selecting a yellow highlighter.
P(E1) = =
Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.
So, the total yellow highlighters left after selecting one = 12 -1 = 11
Also, the number of blue highlighter = 6
So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17
P(E2) =
=
Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.