Question

Find the equation of the line through point (−2,3) and parallel to y=x+1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 12).

Answer 1

y = x + 5

Explanation:

The standard form of the slope-intercept is

y = mx + b

where m is the slope

According to this question, the slope is 1 for the given equation

If two lines are parallel, they have equal slopes

So the slope of the line we are trying to get is 1

We can now use the point-slope form to get the equation of the second line

Mathematically, that will be

y-y1 = m(x-x1)

where m is slope and (x1,x2) are the points given

So therefore;

y-3 = 1( x - (-2))

y-3 = x + 2

y = x + 5