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webwork / fa25 math098 - all / hw2.6 lines / 12 previous problem proble…

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webwork / fa25 math098 - all / hw2.6 lines / 12
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hw2.6 lines: problem 12
(1 point)
find the slope and y - intercept of the line $x + y = 5$.
the slope of the line is:
the y - intercept of the line is:
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Explanation:

Step1: Transform the equation to slope - intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.
Starting with \(x + y=5\), we solve for \(y\):
\(y=-x + 5\)

Step2: Identify the slope and \(y\) - intercept

Comparing \(y=-x + 5\) with \(y = mx + b\), we can see that \(m=-1\) (the coefficient of \(x\)) and \(b = 5\) (the constant term)

Answer:

the slope of the line is: \(-1\)
the \(y\) - intercept of the line is: \(5\)