SOLUTION: Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)

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Question 400122: Indicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Using the point-slope formula, m+=%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29

P(0, -4), 

Q(5, 1)  m = (-4-1) / (0-5) = -5/-5 = 1

Using the standard slope-intercept form for an equation of a line y = mx + b 

 where m is the slope and b the y-intercept.  

y = 1*x + b  |using ordered pair Pt(0,-4) to solve for b

 -4 = 1*0 + b

 -4 = b

 y = x -4

 x - y = 4 in standard form