What is the equation of the line that passes through (4,-1) and (-2,3)

The answer is:

The second option

To know which is the equation of the line, we need to follow the next steps:

Find the slope of the line:

We are given the points:

Where,

Also, we know that we can calculate the slope of a function using the following formula:

Now, using the slope formula, and substituting the given points, we have:

Find the "b" value:

In order to find "b" we need to substitute any of the given points, we know that line pass through both of the given points, so, substituting the point (4,-1), we have:

Writing the slope form of the function,

Now that we know the slope and "b", we can write the equation of the line in slope-intercept form:

Writing the equation of the equation, we have:

Then, by multiplying each side of the equation by 3 in order to simplify the fractions, we have:

Rewriting the equation, we have:

Hence, we have that the correct option is the second option, the equation of the line that passes through the given points is:

Have a nice day!

2x+3y-5=0

Step-by-step explanation:

We have been given two points  (4,-1) and (-2,3). Now we need to find about

what is the equation of the line that passes through (4,-1) and (-2,3).

Slope of the line through the points  (4,-1) and (-2,3)  is given by:

Now plug the slope and point (4,-1) into point slope formula

or we can rewrite that as 2x+3y-5=0

Hence final answer is 2x+3y-5=0

answer: i believe the answer is e

step-by-step explanation: