Answer:
see attached
Step-by-step explanation:
The number of students enrolled at a college is 12,000 and grows 3% each year.
1 answer:
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<h2>Answer:</h2>
There is one/unique solution to the pair of equations for line A and line B.
<h2>Step-by-step explanation:</h2>We know that the equation of a line in slope intercept form is given by:
y= mx+b
where m is the slope of the line and b is the y-intercept of the line.
The <u>graph A:</u>
Line A has a slope of negative 1 and crosses the y axis at 5.
i.e. the slope of line i.e. m= -1
and y-intercept of line i.e. b=5
Hence, the equation of line A is:
y= -x+5
<u>Graph B:</u>
Line B has a slope of positive 1 and crosses the y axis at 3.
i.e. m=1
and b=3
Hence, the equation of line B is:
y=x+3
Now from the graph of these two lines we see that the system of lines intersect at just one point.
Hence, there is just one solution for the pair of equations.
Given:
The line contains the point (-5,-3) and has a slope of -2.
To find:
The graph of the line.
Solution:
The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is
where, m is slope.
Subtracting 3 from both sides, we get
So, the equation of line is .
Putting x=0, we get
It means, the line also passes through (0,-13).
Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.
Therefore, the graph of given line is shown below.
