SOLUTION: Write the equation of the line passing through (3, 7) and (6, 11). I am not sure how to solve these types of problems. Please help.

Algebra ->  Points-lines-and-rays -> SOLUTION: Write the equation of the line passing through (3, 7) and (6, 11). I am not sure how to solve these types of problems. Please help.      Log On


   



Question 5392: Write the equation of the line passing through (3, 7) and (6, 11).
I am not sure how to solve these types of problems. Please help.

Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
The difference between the points will give you the slope:
%28Y-Y1%29%2F%28X-X1%29
%2811-7%29%2F%286-3%29 = 4%2F3 = slope
Then use the formula y=mx+b to find the y intercept (the "b" in the formula)
Pick a point and plug in the values for x, for y and for m (the slope), I will use the point (3,7)
Y=(m)*X+b
7=(4/3)*3+b
7=4+b
3=b
So now we put the values into our equation:
y=mx+b
y=%284%2F3%29x%2B3