SOLUTION: Find an equation of the line that passes through (0, -6) and (5, 3).

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Question 380298: Find an equation of the line that passes through (0, -6) and (5, 3).
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 to determine the slope:

Points (0, -6) and (5, 3)

  m = 3-(-6) / 5-0  = 9/5 

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

where m is the slope and b the y-intercept.  In ths ex.  m = 9/5

y = (9/5)x + b     Using ordered pair Pt(5,3) to solve for b 

3 = 9  + b

-6 = b

y = (9/5)x - 6