Question

Write the equation of a line that is parallel to the line x - y = 5 and goes through the

point (-2, 1).

Answer 1

y = x + 3

Explanation:

x - y = 5

=> x - 5 = y

=> y = x - 5 -> Eq 1

=> m = 1 (Since, y = mx + 5 in Eq 1)

y = mx + c

Substituting Value of x and y (-2,1) and value of slope(m=1) in y = mx + c,

=> 1 = (1)(-2) + c

=> 1 = -2 + c

=> c = 3

Getting the equation of the line,

y = (m)(x) + c

m = 1, c = 3

=> y = x + 3