Aline passes through (2,-1) and (4,5). what answer is the equation of the line? -3x+5y=-13
-3x+y=-7
-3x+5y=13
-3x+y=17

The equation of the line passes through (2, -1) and (4, 5) is -3x + y = - 7 So, option 2 is correct.

Solution:

Given, two points are (2, -1) and (4, 5)

We have to find that a line that passes through the given two points.

First let us find the slope of the line that passes through given two points.

So, slope of line "m" is given as:

So slope of our line =

Now, let us find the line equation using point slope form:

Then equation of line is,

y – 5 = 3(x – 4)  

y – 5 = 3x – 12  

-3x + y = 5 – 12  

-3x + y = -7

Hence, the line equation is -3x + y = - 7 so, option 2 is correct.