What is an equation of the line that passes through the points (-5, -1) and (5, 3)?

So two co-ordinates are (2,-5) and (0,-3)

First obtain the gradient (slope) by (y2-y1)/(x2-x1) so (-3–-5)/(0–2) so 2/-2 = -1

So the first part of the equation is y=-x.

Then to find out how many you need to + or - just calculate it:

In (2,-5), -x is -2. To get to -5 you need to subtract another 3, hence y=-x-3. It shouls be the same in the other co-ordinate (0,-3) if I’ve done it right: -x = 0. Subtract 3 for -3.

So y = -x - 3 should do it.
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