what is y=-4x+3 and 4y+x=-1

Expert Answers

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

For the general line equation

`y =m*x +n`   (1)

the slope is `m` and the `y` intercept is `n`.

Thus the slope of the first line `y =-4x +3`  is `m_1 =-4` .

For the second line we need to write it in the general form (1).

`4y +x =-1`

`4y =-x-1`

`y =(-1/4)*x -1/4`

Therefore the second line slope is `m_2 =-1/4` .

DEFINITION: two lines are perpendicular if their slopes are in the relation: `m_1*m_2 =-1` .

Since in our case `m_1*m_2 =(-4)*(-1/4) =+1` the two lines are not perpendicular.

Answer: the two given lines are not pependicular.

See eNotes Ad-Free

Start your 48-hour free trial to get access to more than 30,000 additional guides and more than 350,000 Homework Help questions answered by our experts.

Get 48 Hours Free Access
Approved by eNotes Editorial