Question 653292
When you're given a slope and a point, it's best to use the point-slope form of the equation. "The" equation means the linear (straight line) equation. The point slope form is:
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y = y1 = m(x - x1). 
((side note: this is actually the slope formula, just rearranged.)) 
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So, 
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slope (m) = -7
 point (7, 4) 
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y - y1 = m(x - x1)
(the y and the x always stay as y and x in this form)
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Plug in what your teacher gave you. y1 = 4 and x1 = 7 (from (7,4)), and slope (m) = -7
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 y - 4 = -7(x - 7) 
y - 4 = -7x + 49 (distributed the -7)
y = -7x + 53 (added 4 to both sides)