Question

y = 4x + 3 y = - 1 4 x - 5 What is the BEST description for the lines represented by the equations?

Answer 1

D. perpendicular that's the answer

Answer 2

Given lines are PERPENDICULAR to each other.

Explanation:

We have the equations,
`y=4x+3` and
`y=-(x)/(4)-5`

The slope-intercept form of a straight line is 'y=mx+b', where m is the slope and b is the y-intercept.

So, accordingly we get that,

The given equations have slopes
`m=4` and
`m=(-1)/(4)`.

As we see that,
`4* (-1)/(4)=-1`

Thus, the product of the slopes of the given lines is -1.

Hence, the given lines are PERPENDICULAR to each other.