What is the equation of the line that is perpendicular to the line y equal minus 1 over 2 open parentheses x minus 18 close parentheses and intersects the y-axis at open parentheses 0 comma space minus 1 close parentheses ?

Given:

The equation of line is

The perpendicular line intersect the y-axis at (0,-1).

To find:

Equation of perpendicular line.

Solution:

Point slope form of a line is , where m is slope.

We have,

Thus, the slope of this line is .

Product of slopes of two perpendicular lines is -1.

Let the slope of perpendicular line is . Then,

Slope of perpendicular line is 2 and it passes through (0,-1). So, the equation of perpendicular line is

Therefore, equation of perpendicular line is .

17.08

correct me if i am wrong.