Consider the line y=-2/7x-7 and the point is (-7,-4) what would the perpendicular line be and the parallel be

a) The equation of line perpendicular to above line and passes through point (-7,-4) is

b) The equation of line parallel to above line and passes through point (-7,-4) is

Step-by-step explanation:

We are given the line:

The slope of the above equation is: (By comparing with general form where m is slope)

a) Find equation of line perpendicular to above line and passes through point (-7,-4)

If two lines are perpendicular there slopes are opposite reciprocal i.e

The slope of new line will be:

Now finding y-intercept using slope and point (-7,-4)

So, the equation of line perpendicular to above line and passes through point (-7,-4) will be:

So, the equation of line perpendicular to above line and passes through point (-7,-4) is

b) Find equation of line parallel to above line and passes through point (-7,-4)

If two lines are parallel there slopes are same i.e

The slope of new line will be:

Now finding y-intercept using slope and point (-7,-4)

So, the equation of line parallel to above line and passes through point (-7,-4) will be:

So, the equation of line parallel to above line and passes through point (-7,-4) is

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step-by-step explanation:

4 and 5)16.97 or 12√2

6)15.59 or 9√3

7)y = 15.59 or 9√3     x =27

8)17.80