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.