Question

I need to know if it’s parallel, perpendicular or neither please explain as well.

Answer 1

Analysing the Question:

We are given the following equations:

x - y = 4

x + y = 9

writing these equations in slope-intercept form

y = x - 4

y = -x + 9

the general form of the slope-intercept equation is :   y = mx + b (where m is the slope and b is the y-intercept)

Hence, we can say that the for Equation 1:

Slope  = 1

y-intercept = -4

For equation 2:

Slope = -1

y-intercept = 9

Finding if the lines are Perpendicular, parallel or neither

If the slope of the lines is equal, the lines are parallel

If the slope of the lines is the additive inverse (negative) of each other, the lines are perpendicular

Since the slopes of the 2 lines are the additive inverse (negative) of each other, the lines are perpendicular     [slope 1 = 1    , slope 2 = -1]