What is the equation for the line that passes through the points (-5, 2) and (5, -6)?

 5y+ 4x +30 = 0

Step-by-step explanation:

The formula for finding the equation of line when two points are given is :

substituting into the formula , we have :

we have:

which will give :

which will be :

writing in standard form , we have :

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.