Find the equation of a line that is perpendicular to y =1/ 4x + 6 and contains the point (-2,0)

The equation of perpendicular line is .

Step-by-step explanation:

The equation of given line is

            ..... (1)

The slope intercept form of a line is

                        .... (2)

Where, m is slope and the y-intercept is b.

On comparing (1) and (2) we get the slope of line is and the y-intercept is 6.

The product of slopes of two perpendicular line is -1.

The slope of perpendicular line is -4. It is given that the perpendicular line passing through the point (-2,0).

Using point slope form we get

Therefore the equation of perpendicular line is .

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