Question

The equation of line m is 8x-7y+10=0. a. For what value of k is the graph kx-7y+10=0 parallel to line m? b. What is k if the graphs of m and kx-7y+10=0 are perpendicular?

Answer 1

Refer to explanation

Explanation:

We write line m as follows

`8x-7y+10=0=>7y=8x+10=>y=8/7x+10/7`

and `kx-7y+10=0=>y=k/7x+10/7`

So to be parallel k must be `k=8`

in order to be perpendicular we have that

`8/7*k/7=-1=>k=-49/8`