Respuesta :

Answer:

Answer : False.

Step-by-step explanation:

Hey there!

The equations of line a and line b are:

line a : y= 5x-6...........(i)

line b : x+5y= 5..........(ii)

Firstly find the slope of both equation.

To find slope of first equation;

y= 5x-6

Comparing the equation with y= mx+c. We get;

Slope (m1) = 5.

Now,

To find slope of second equation;

Slope (m2) = (-coefficient of x)/(coefficient of y)

Slope (m2) = (-1/5)

Therefore, the slope of second equation is -1/5.

As per the condition of parallel lines, slope of 1st equation should be equal to 2nd equation.

Now, comparing their slopes;

5≠(-1/5)

Therefore, the answer is "False".

Hope it helps....

Line A

  • y=5x-6

Compare to slope intercept form

  • slope=m=5

LineB

  • x+5y=5
  • 5y=5-x
  • y=1-1/5x

Slope

  • k=-1/5

As slopes are negative reciprocal to each other lines are perpendicular to sach other not parallel

Hence it's False

ACCESS MORE