Question 1033537
The equation needing to be solved is ( -5,10) and (3,-6). This needs to be wrote in the slope intercept form. 
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Use the slope formula: m = {{{((y2-y1))/((x2-x1))}}}
Assign the values as follows
x1=-5; y1=10
x2=3; y2=-6
Find the slope
m = {{{((-6-10))/((3-(-5)))}}} = {{{(-16)/8}}} = -2 is the slope
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Use the point/slope form y - y1 = m(x-x1), we know m=-2
y - 10 = -2(x - (-5))
y - 10 = -2(x + 5)
y - 10 = -2x - 10
y = -2x - 10 + 10
y = -2x, this is the slope intercept form (intercept is 0)
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Confirm this when x = -5,
y = -2(-5)\
y - 10
and when x = 3
y = -2(3)
y = -6