Question

. A line is parallel to the line y = -x +9 and passes through the point of intersection of

x+y = 10 and 3x - 4y + 12 = 0. Determine the equation of the line.

Answer 1

Explanation:

point of intersection of the equations: (4,6)

The line parallel to the given line would be y = -x + k

the line passes through (4,6)

putting the values, we get, 6 = -4 + k ⇒ k = 10

Required equation⇒ y = -x + 10