The given numbers are a set of points. To convert this into a linear data set, you can do data fitting. The easiest way to do this is using a software. In this case, I used MS Excel. You plot the points and set a linear trendline. The linear equation for this set of data is: y = 0.286x + 0.784
You can refer to the image to further understand the procedure.
Answer:
and
.
Step-by-step explanation:
We have been given a system of equations. We are asked to solve our given system.


From equation (1), we will get:

Upon substituting this value in equation (2), we will get:





Now, we will substitute
in equation (1).



Therefore, the point
is solution for our given equation.
Answer:
The coordinates of other point are: (5,1)
Step-by-step explanation:
Given coordinates are:
M(x,y) = (2,4)
R(x_1,x_2) = (-1,7)
We have to find the coordinates of other point (x2,y2)
The formula for mid-point is given by:

Putting the values we get

Putting respective elements equal

Hence,
The coordinates of other point are: (5,1)
Answer:
see below
Step-by-step explanation:
The slopes of parallel lines are the same. The slopes of perpendicular lines are negative reciprocals of each other, hence their product is -1.
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For the most part, the concept of adding slopes of lines does not relate to parallel or perpendicular lines in any way.