3 years ago

if a system of linear equations has infinitely many solutions, what does this mean about the two lines?

1 answer:

8 0

Answer: If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line so this means that any point on the line is a solution to the system.

Step-by-step explanation: Hope this helps

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What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (−2, 4)?

GrogVix [38]

First find the slope of the given line like this:
$5x + 2y = 12\\2y=-5x+12\\y=\frac{-5}{2}x+6$
If two lines are parallel, then they have the same slope, so the equation we are looking for is in the form:
$y=\frac{-5}{2}x+a$ and we have to find b using the given point like this:
Substitute x = -2 and y=4 in the above equation like this and solve for a:
$4=\frac{-5}{2}(-2)+a$
$4=5+a$
$a=4-5=-1$
The equation of the line is then the following:
$y=\frac{-5}{2}x-1.$

3 0

4 years ago

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The vertices are W(2,2), X(4,3), Y(5,2), Z(4,1)

Harman [31]

Answer is in The pic