Answer:
The linear equation for the line which passes through the points given as (-1,4) and (5,2), 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 (-1,4) and (5,2).
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 (-1,4) and (5,2). Next, the formula for the slope is given as,

Substitute 2&4 for
and
respectively, and
for
and
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,-1 for
, and 4 for
in the above equation and simplify using the distributive property as follows,

Step 3 of 3
Simplify the equation further.
Add 4 on each side of the equation
, and simplify as follows,

This is the required linear equation.