Consider the following system which has a solution of (-1, 4) and Q,R,S,T,U and V are non-zero real numbers.
1 answer:
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Answer:
The possible coordinates of point A are and
, respectively.
Step-by-step explanation:
From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:
(1)
Where:
- Length of the line segment AB.
- x-coordinates of points A and B.
- y-coordinates of points A and B.
If we know that ,
,
and
, then the possible coordinates of point A is:
There are two possible solutions:
1)
2)
The possible coordinates of point A are and
, respectively.
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The answer is:
The correct option is the first option:
To write the equation of the line in slope-interception form we need to extract all the information that we need from the graphic.
We must remember that the slope-interception form of the lines is:
Where,
y, is the function
m, is the slope of the line
x, is the variable
b, is the y-axis intercept
We can find the slope using the following formula:
Which is for this case:
As we can see from the graphic, the line is decresing, so the sign of the slope "m" will be negative, so:
We can find the value of "b" seeing where the line intercepts the y-axis.
As we can see it intercept the y-axis at:
Then, now that we already know the value of "m" and "b", we can write the equation of the line:
So, the correct option is the first option:
Have a nice day!