Question

A

walking path across a park is represented by the equation y = -3x - 6. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-3, 3). Identify the equation that represents the new path.

Answer 1

We are given the path, y=-3x-6

The general form of the straight line is 'y=mx+b', where 'm' is the slope and 'b' is the y-intercept.

Thus, the slope of the given line is -3.

As, we have that the incipient path is perpendicular to the given path.

And, we ken that, 'Product of slopes of perpendicular lines is -1'.

Since, the incipient path passes through the point (-3,3). Superseding the values in the general form, we get,

b= 3+1

b= 4.

Explanation: