Question

work out the equation of a line which passes through the point (-1,2) and is parallel to the line y=x+4

Answer 1

y = x + 3.

Explanation:

The line y = x + 4 has a slope of 1 because the coefficient of x is 1, so the line we need also has the same coefficient of x.

Use the point-slope form of a line:

y - y1 = m(x - x1)

Substituting m = 1 , x1 = -1 and y1 = 2:-

y - 2 = 1(x - (-1))

y - 2 = x + 1

y = x + 3 (answer).