Verify if the lines x-3y-2=0 and 2x+y-5=0 are intersecting .

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The lines can be written in the slope intercept form y = mx + c

x- 3y - 2 = 0

=> 3y = x - 2

=> y = x/3 - 2/3

The slope is 1/3

2x + y - 5 = 0

=> y = -2x + 5

...

See
This Answer Now

Start your subscription to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your Subscription

The lines can be written in the slope intercept form y = mx + c

x- 3y - 2 = 0

=> 3y = x - 2

=> y = x/3 - 2/3

The slope is 1/3

2x + y - 5 = 0

=> y = -2x + 5

The slope is -2

As the slope of the two lines is not the same, they are not parallel, therefore they are intersecting as they don't have the same slope.

Approved by eNotes Editorial Team