Question 574979
A line passes through (3,5) and (6,14). What is the equation of the line in point-slope form?
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Find the slope.
slope m = diffy/diffx = (14-5)/(6-3) = 9/3
m = 3
Then here's an example.
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Write the equation of a line that passes through the given point and has the given slope. Then write the equation in slopeintercept form. Show all your work. 
Passes through (–5,6) and has slope of 3
Use y = mx + b and the point to find b
6 = 3*(-5) + b
b = 21
--> y = 3x + 21