The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
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Answer:
Profit is maximized at the output at which marginal revenue exceeds marginal cost by the greatest margin. Total profit is represented by the vertical distance between a total revenue curve and a total cost curve.
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The slope of a line is the steepness of a line.
The slope of a perpendicular line is always the negative reciprocal of the slope of the line it is perpendicular with.
Since line C has a slope of -4, the negative reciprocal of that is 1/4.
Reciprocals are two numbers that multiply together to get 1.
For example, -1/4*-4/1=1
Therefore the negative recipricol is 1/4
Answer:
- R= 0.2
- 2
Step-by-step explanation:
explaining the answer to 1
I'll explain everything so you understand.
The correlation coefficient tells us about the strength of the relationship between the variables. In other words, it tells us how well the data fits on the line of best fit.
So, the closer the points lie on the line of best fit the stronger the relationship and correlation.
The further the points lie from the line of best fit, the weaker the correlation
It is important to note that the correlation coefficient (r) always lies between -1 and 1.
So, the closer the value of r lies to -1 or 1 the stronger the relationship between the variables.
The closer the value of r is to 0 the weaker the relationship between the variables and the weaker the correlation.
explaining the answer to 2
the correlation coefficient (r) always lies between -1 and 1 so it can't be 2.
Hope this helps.
Answer :
-8 miles per min
He travels 3.25min
-8 x 3.5= -26
He traveled 26 miles in 3.25
I hope this helped
