What is the point slope form of the equation of the line that passes through the point (0;2) and it has the slope m = -3 ?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The line passes through the point (0,2) and the slope m = -3.

Let us write the equation in the standard form:

y-y1 = m(x-x1) such that:

(x1,y1) is any point that passes through the line and m is the slope.

Given the point (0,2)  and slope m= -3 , we will...

Unlock
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Start your 48-Hour Free Trial

The line passes through the point (0,2) and the slope m = -3.

Let us write the equation in the standard form:

y-y1 = m(x-x1) such that:

(x1,y1) is any point that passes through the line and m is the slope.

Given the point (0,2)  and slope m= -3 , we will subsitute these values into the equation:

y-y1= m(x-x1)

y- 2 = -3 (x - 0)

y-2 = -3x

Now add 2 to both sides:

==> y= -3x + 2   is the formula for the line.

Approved by eNotes Editorial Team