Which equation representsthe line that passes through the points (4, 1) and (0, 3)

1 answer

First, let's find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1)

m = (3 - 1) / (0 - 4)
m = 2 / -4
m = -1/2

Now that we have the slope, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Using the point (4, 1):

y - 1 = -1/2(x - 4)
y - 1 = -1/2x + 2
y = -1/2x + 3

So, the equation of the line that passes through the points (4, 1) and (0, 3) is y = -1/2x + 3.