Find the equation of the line that passes through (1,2) and is perpendicular to y=2x+3. Leave your answer in the form y=mx+c
1 answer:
Answer:
y = -1/2x + 5/2
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(1) + b
To find b, multiply the slope and the input of x (1)
2 = -1/2 + b
Now, add 1/2 to both sides to isolate b.
5/2 = b
Plug this into your standard equation.
y = -1/2x + 5/2
This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)
Hope this helps!
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Answer:
The solution is given below;
Step-by-step explanation:
The computation is shown below:
There is six equal sections are numbered i.e. 2, 2, 3, 4, 5, and 6.
And, Number of Outcome of 2 on the Spinner is 2
Also, total Number of Sections is 6
As the winning spin is a 2
So, The theoretical probability of winning
= 2 ÷6 × 100
= 33.33%
Now
There is a total no of trials be 120
And, the number of outcome of 2 be 30
So, the experimental probability is 30 ÷ 120 = 1 ÷ 4 × 100 = 25%
As 33.3%>25%, this represent that the theoretical probability of winning would be greater.
