How do you write the equation in point slope form given (0,-2) with slope = -3/7?

1 Answer
May 27, 2016

#y+2=m(x-0)" "larr# In full form

#y+2=mx" "larr# In simplified form

Explanation:

For any given point #P_i ->(x_i,y_i)" and gradient "m#

We have # y-y_i=m(x-x_i)#

In other words you are looking just at the gradiant.

There is no need to worry about the #c# in #y= mx + c# as it is implied and locked into the condition # y-y_i=m(x-x_i)#. You can only have one value for #c# to make #(x_i,y_i)# work.

So for your question we have:

Given that #P_i ->(x_i,y_i) ->(0,-2)#

#color(brown)( y-y_i=m(x-x_i))color(blue)(" "->" " y-(-2)_i=m(x-0) )#

#y+2=m(x-0)#