Question 1194391
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Let's find the slope first.
(x1,y1) = (5,2) and (x2,y2) = (10,-3)
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2 - y1)/(x2 - x1)
m = (-3 - 2)/(10 - 5)
m = (-5)/(5)
m = -1
The slope is -1


Now let's find the y intercept
I'll use the slope we just found and the first point (x1,y1) mentioned.
Use point-slope form
y-y1 = m(x-x1)
y-2 = -1(x-5)
y-2 = -1*x-1*(-5)
y-2 = -x+5
y = -x+5+2
y = -x+7


This equation is in y = mx+b form
m = -1 = slope
b = 7 = y intercept


Answer: <font color=red>y = -x+7</font>
To verify this answer, plug in each coordinate into the equation. Then simplify. You should get the same thing on both sides.
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