The equation of the perpendicular line to the given line is: y = -5/4x - 30.
<h3>What is the Equation of Perpendicular Lines?</h3>
The slope values of two perpendicular lines are negative reciprocal of each other.
Given that the line is perpendicular to y = 4/5x+23, the slope of y = 4/5x+23 is 4/5. Negative reciprocal of 4/5 is -5/4.
Therefore, the line that is perpendicular to it would have a slope (m) of -5/4.
Plug in m = -5/4 and (x, y) = (-40, 20) into y = mx + b to find b:
20 = -5/4(-40) + b
20 = 50 + b
20 - 50 = b
b = -30
Substitute m = -5/4 and b = -30 into y = mx + b:
y = -5/4x - 30
The equation of the perpendicular line is: y = -5/4x - 30.
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Answer:
A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment
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Answer:
Slope Intercept form of the equation is 
Step-by-step explanation:
Here, the two point line are given as is A(-6,-3) and B(6,-7)
The slope of the line AB = 

⇒ the slope of AB is m = (4/3)
By SLOPE INTERCEPT FORMULA:
The equation of a line with slope m and a point (x0, y0) is given as
(y-y0)= m (x-x0)
⇒ The equation of line with point (6,-7) is:

Now, the given equation is -x + 3y = -27
Convert it in the SLOPE INTERCEPT FORM y = mx + c
We get, 3y = x - 27
or, 
Hence, the Slope Intercept form of the equation is 
Answer:
41 3/4 Is already is in simplified form
Step-by-step explanation:
Answer:
A. 18 sit-ups in one minute
B. 30 doors per hour
D. 18 words per minute
F. $30 per night
C. 3.5 miles per hour
E. $10.50 per pair of pants
Step-by-step explanation:
A. 36/2 = 18
B. 15 * 2 = 30
D. 72/4 = 18
F. 150/5 = 30
C. 10.5/3 = 3.5
E. 31.50/3 = 10.50