Question

Which if the following is the equation of a line that passes through the points (2,5) and (4,3)

Answer 1

Hi there!

First, let's find the slope of the two points using the slope formula (y2 - y1 / x2 - x1).

S = 4 - 2 / 3 - 5
S = 2 / -2
S = -1

Next, we'll plug in the slope and a point into point-slope form (y - y1 = s(x - x1)) in order to find an equation. I will show the work using both points, which will result in two different equations.

(2,5)
y - 5 = -1(x - 2)
y - 5 = -x + 2
y = -x + 7

(4,3)
y - 3 = -1(x - 4)
y - 3 = -x + 4
y = -x + 7

The two equations came out the same! Which is completely okay, and happens sometimes. 

Hope this helps!! :)
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