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

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x