What is an
equation of the line that passes through the points (-4, 2) and
(-8, -3)?

Step-by-step explanation:

The equation of a straight line can be written as .

With the pair of coordinates (coordinates are written in the form ) , the following can be written:

To solve for a variable, we can use elimination:

 (subtract the second equation from the first)

( is eliminated)

To solve for the other variable, we can use substitution:

is the linear equation for the line that passes through the points and

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2