# Given (2,1),(0,-2),(-2,-3), what is the coordinate of the y intercept, the slope and equation of the line?

##### 1 Answer

Apr 14, 2015

Assuming the line is a standard (non-rotated) parabola

it has the form:

Using the given points

we can write three equations in three unknowns (

#1=4a +2b +c# #-2 =0a +0b +c# #-3 = 4a-2b+c#

From equation 2

and by inspection or standard operations it follows that

The equation of the parabola is therefore

We were told the y-intercept (it's the point where

The y-intercept is

We are not given a point at which to evaluate the slope (I'm assuming it is the slope of the tangent that is being asked for)

so the best we can do is give the general formula for the slope at a point

namely the derivative of