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Answer :
Answer:
The lines are perpendicular.
Step-by-step explanation:
To determine if the given lines are parallel, perpendicular or neither, we have to find the slope of the lines.
To find the slope, write the equation in slope y-intercept form, y = mx +b.
Here, m is the slope and b is y-intercept.
x + y = 15
y = -x + 15
Slope of the line m₁ = -1
x - y = 15
- y = -x + 15
Divide the entire equation by (-1),
[tex]\sf \dfrac{-y}{-1}=\dfrac{-x}{-1}+\dfrac{15}{-1}[/tex]
y = x - 15
m₂ = 1
[tex]\sf m_1 * m_2 = (-1) * (1)[/tex]
= - 1
If the product of the slope of two lines is (-1), then the lines are perpendicular.
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