Carcass wrote:
Line A is perpendicular to the line with the equation \(y= - \frac{1}{5}x\) and the point (3, -10) is on line A. Which of the following is the equation of line A?
A. \(y=- \frac{1}{5} x - \frac{47}{5}\)
B. \(y = \frac{1}{5} x -\frac{53}{5}\)
C. \(y = 5x\)
D. \(y=5x - 5\)
E. \(y=5x - 25\)
since line A is perpendicular to the line \(y= - \frac{1}{5}x\),
so slope for line A = 5 (Since the slope of a line perpendicular to a given line is the negative inverse of the slope of the other line)
Now two points of the line a are given as (3 , -10)
Putting them in the line equation
y = mx + c
or -10 = 5 * 3 + c
or c = -25
therefore the equation of line A : y = 5x - 25