Write the equation of the line perpendicular to 2x-3y=12 which passes through the point (16,-7).
Answers
The equation of the line perpendicular to the given line will be =
y = x + 17
We have a general equation of line as - 2x - 3y = 12 which passes through the point (16, -7).
We have to determine the general equation of the line perpendicular to this line.
What is the general equation of a straight line ?
The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to question, we have -
Equation of Line = 2x - 3y = 12
Rearranging the above equation of line, we get -
3y = 2x - 12
y =
Therefore, the slope of this line will be = 2/3
Two lines which are perpendicular to each other have the following relation among their slopes =
m(1) x m(2) = -1
Therefore, the slope of line perpendicular to the given line will be -
m(2) = -3/2
Now, assume that the equation of line perpendicular to the given line be-
y = mx + c
y = x + c
Since, this line passes through the point (16, -7), therefore-
- 7 = + c
-7 + 24 = c
c = 17
Hence, the equation of the line perpendicular to the given line will be =
y = x + 17
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(16, -7) = (x,y)
2(16) - 3y = 12
32 - 3y = 12
32 - 12 = 3y
20/3 = y
6.6 = y
2x-3(-7) = 12
2x+21 = 12
2x = 12 - 21
x = -9/2
Insert the values into y = mx + b
solve for m and then solve for b
Related Questions
Given the following system of equations, identify the type of system.x + 2y = 63x + 6y= -9A. ConsistentB. InconsistentC. Equivalent
Can someone help me fast
For each number, name its opposite. a. -5 b. 28 c. -10.4 d. 0.875 e. 0 f. -8,003 answer as soon as possible
At Bayside High School, 55% of the student body are boys. Thirty-five percent of the boys are on honor roll, and 40% of girls are on honor roll. What percent of the student body is on honor roll? Round to the nearest percent
8 units
13 units
14 units
Answers
The solution is, the length of line segment VT is 13 units.
What is a straight line?
A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
Here, given that, point P is between V and T,
Then, V&T are the endpoints & P is on the line.
V---------------------P--------------------T
So, we get, VP+PT=VT
from the given figure we get,
The solution is, the length of line segment VT is 13 units.
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Answer:
C. 13
Step-by-step explanation:
Answers
In math
"is" means equals
"of" means times
The question translates to
16 = 25% * x
16 = .25x
16/.25 = x
64 = x
x = 64
16 is 25% of 64
25% × n = 16 (Where n represents the number which 16 will be 25% of)
25% × n is the same thing as saying:
1/4 × X = 16
X/4 = 16
X/4 × 4 = 16 × 4
X = 64
This may be a bit confusing, if you require clarification, let me know!
Answers
Domain of - 5 : x ≥ 25 .
Range of √x - 5 : y ≥ -5 .
Given,
f(x) = √x - 5
Here,
To find the domain,
√x - 5 ≥ 0
√x ≥ 5
Squaring both sides ,
x ≥ 25 .
Thus domain of √x - 5 is x ≥ 25 .
Range of √x - 5,
To define the range of the function the value of x can not be negative as it will make the function complex .
So,
Range will be ,
y ≥ -5 .
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for the range if you input 0 as x you will get -5, so any number you input after 0 will be greater than -5. so range is all real numbers greater than or equal to -5.
Answers
mode: 38
range: 96
median: 46
Median=55.5
Mode=38
Range=99-3=96
The ratios of consecutive y-values are equal for evenly spaced x-values.
The change in y-values is not constant, but the change is constant for evenly spaced x-values.
The change in y-values is constant for evenly spaced x-values.
Answers
The change in x values and y values are proportional to each other for the given case. The correct option is (D).
What is the slope of straight line?
The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
In order to form a linear equation from a table,
The slope has to be found first.
For this, the ratio of the difference in the values of x and y are taken.
Which implies that the change in x values are directly proportional to the change in the values of y.
And the proportionality constant is known as the slope.
=> (y₂ - y₁) ∝ (x₂ - x₁)
=> (y₂ - y₁)/(x₂ - x₁) = m
Hence, the change in y values are constant for change in x values.
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ANSWER:
the answer is D.
X+y=-3
X-y=13
Answers
x - y = 13
2x = 10
2 2
x = 5
x + y = -3
5 + y = -3
- 5 - 5
y = -8
(x, y) = (5, -8)
x+y=-3
x-y=13
---------
2x=10
x=5
For y
5+y=-3
y=-3-5
y=-8