Find the equation of the line that contains the point (4,-2) and is perpendicular to the line y=-2x+8.
1 answer:
Answer:
Step-by-step explanation:
Perpendicular lines will have slopes that are the multiplicative additive inverse of each other: a line with slope 3/4 is perpendicular to a line with slope -4/3, for example. You need a line that is perpendicular to a line with slope -2 (reading that from the -2 in the -2x portion of the given equation, which is written in slope-intercept form), so your new line must have slope +1/2.
With the slope and a point, we can come up with an equation using this formula:
y - y-coordinate = slope (x - x-coordinate)
So we have y - (-2) = 1/2 (x - 4).
Simplify the equation: y + 2 = 1/2 x - 2
Subtract 2 from both sides: y + 2 - 2 = 1/2 x - 2 - 2
Simplify: y = 1/2 x - 4.
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Answer:
Option (B) is correct.
To prove
As given the epression in the question is given by
Now simplify the above
Terms are written as
Put in the above expression.
Answer:
x + 3y = 9
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 1 = - (x - 6)
Multiply through by 3 to clear the fraction
3y - 3 = - (x - 6) ← distribute parenthesis by - 1
3y - 3 = - x + 6 ( add x to both sides )
x + 3y - 3 = 6 ( add 3 to both sides )
x + 3y = 9 ← in standard form
Answer:
Hence, the model that best represents the data is:
Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)
B)
C)
D)
We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3