Question -
Answer -
Given:
The perpendicular from the origin meets the given line at(–1, 2).
The equation of line is y = mx + c
The line joining the points (0, 0) and (–1, 2) isperpendicular to the given line.
So, the slope of the line joining (0, 0) and (–1, 2) =2/(-1) = -2
Slope of the given line is m.
m × (-2) = -1
m = 1/2
Since, point (-1, 2) lies on the given line,
y = mx + c
2 = 1/2 × (-1) + c
c = 2 + 1/2 = 5/2
∴ The values of m and c are 1/2 and 5/2 respectively.