Question 153000
Write the equation of the line in slope intercept form that passes through the points (-3,5) and (2,-5) 
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Assign the given coordinates as follows:
x1 = -3; y1 = 5
x2 = 2; y2 = -5
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Use the slope formula to find the slope (m): m = {{{(y2-y1)/(x2-x1)}}}
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Using our values:
m = {{{(-5 - 5)/(2 -(-3))}}}
which is:
m = {{{(-5 - 5)/(2 + 3)}}} = {{{(-10)/5)}}}
m = -2
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Use the point/slope formula to find the equation: y - y1 = m(x - x1)
:
y - 5 = -2(x - (-3))
y - 5 = -2(x + 3)
y - 5 = -2x - 6
y = -2x - 6 + 5
y = -2x - 1; is the slope intercept equation
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You can substitute the given values for x in the above equation
Confirm that you get the given values for y
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How about these steps, did they make sense to you?