Answer:
The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as  .
.
Step-by-step explanation:
A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).
It is asked to find the linear equation which satisfies the given condition.
Step 1 of 3
Determine the slope of the line.
The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

Substitute  for
 for  and
 and  respectively, and 4&-2 for
 respectively, and 4&-2 for  and
 and  respectively in the above formula. Then simplify to get the slope as follows,
 respectively in the above formula. Then simplify to get the slope as follows, 

Step 2 of 3
Write the linear equation in point-slope form.
A linear equation in point slope form is given as,

Substitute  for m,-2 for
 for m,-2 for  , and 8 for
, and 8 for  in the above equation and simplify using the distributive property as follows,
 in the above equation and simplify using the distributive property as follows, 
Step 3 of 3
Simplify the equation further.
Add 8 on each side of the equation  , and simplify as follows,
, and simplify as follows, 

This is the required linear equation.