What is the equation in point slope form of the line passing through (-3,-4) and (0,2)

Question

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Answer 1

Here is an explanation. You will need the slope of the line that passes through the two points (x₁,y₁) and (x₂,y₂), that is the ratio rise divided by run [from point (x₁,y₁) to point (x₂,y₂)]:

 

slope = m = (y₁-y₂)/(x₁-x₂)

 

Once you found the slope, the equation is

 

y - y₁ = m(x - x₁).

 

You can use either point in the equation.

 

Any questions?

Answer 2

Point slope form of a line:

 y-y0 = m(x-x0) 

 

where  m = slope  (rise / run or  (y1-y0)/(x1-x0))

          (x0,y0) = any point on the line

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You are given two points (-3,-4) and (0,2) on the line.  Plug in the coordinates to find m, then use one of the points as (x0,y0) in the point slope form.

 

 

 

 

Answer 3

See Al P.'s answer.