What is the equation that passes through (4, 3) and (2, -1)?
y = 2x - 5
y = 4x -13
y = 6x+4
y = 1/2 x -2

y = 2x - 5

Step-by-step explanation:

We are to find the equation of line the line which passes through the points (4, 3) and (2, -1).

Finding the slope:

Slope =

Substituting the coordinates of one of the given points and slope in the standard form of an equation to find the y intercept.

So the equation of the line would be

first option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope of the line and "b" is the y-intercept.

To find "m", we need to substitute the coordinates of the points  (4, 3) and (2, -1) into this formula:

We can identify that:

Then:

To find "b" we must substitute the slope and one of the given points into and solve for "b". Then, this is:

Therefore, the equation of this line is: