Question

Determine if this given lines are parallel, perpendicular, or neither

x+7=15
x-y=15

Answer 1

The lines are perpendicular.

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),

`\sf (-y)/(-1)=(-x)/(-1)+(15)/(-1)`

y = x - 15

m₂ = 1

`\sf m_1 * m_2 = (-1) * (1)`

= - 1

If the product of the slope of two lines is (-1), then the lines are perpendicular.