How to write the slope intercept form of the equation of the line passes through (-3,-2), and parallel y = x+2?

1 Answer
Jul 19, 2016

y=x+1

Explanation:

As the equation y=x+2 is already in slope intercept form, its slope is 1 (coefficient of x).

Slopes of two parallel lines are equal and hence slope of line parallel to y=x+2 is also 1.

Now equation of line passing through (x_1,y_1) having a slope m is

(y-y_1)=m(x-x_1)

Hence equation of line passing through (-3,-2) and slope 1 is

(y-(-2))=1×(x-(-3)) or

y+2=x+3 or y=x+1 in slope intercept form.