Question

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

Answer 1

y = x + 3

Explanation:

In point slope form, the equation of line is,

`y - b = m(x - a)`

where a and b correspond to the x and y coordinates of the given point and m is the slope

Since the line is parallel to y = x+4, it has the same slope so m = 1 since the slope of y = x+4 is 1

and putting the values of the point (-1,2), we get,

y - 2 = x - (-1)

y-2 = x + 1

y = x + 3