Question

How to find the equation of OB?

Answer 1

Explanation:

Since we are given the coordinates of A, and we know that another coordinate on segment OA is the origin, (0, 0), we can use that information in the slope formula to find the slope of segment OA:

`m_(OA)=(-3-0)/(6-0)=-(1)/(2)`

Since segment OB is perpendicular to segment OA, then its slope is the opposite reciprocal of that of segment OA. Therefore, the slope of segment OB is 2. We will use that along with the coordinate of the origin to write the equation of OB in the slope-intercept form of a line:

y = mx + b where y = 0, x = 0, m = 2

0 = 2(0) + b so

b = 0 and the equation for the line is

y = 2x