Question

Find the angle between the straight lines x-5 y= 7 and x+6 y=1

Answer 1

Step-by-step explanation:

x-5 y=7 and x+6y=1

x-x=7 and 6y+5y=1

11y=1-7=180

11y=-6=180

Answer 2

write in the form of y=mx+c and find the slopes.

two slopes will be 1/5 and -1/6

then angle between two lines can be written as

$\tan( \alpha ) = | \frac{m1 - m2}{1 + m1 \times m2} |$

after solving you'll get

$\tan( \alpha ) = 11 \div 29 \\ \alpha = 20.77$