SOLUTION: Hi Tutors, me again, if I could figure out your solvers I could get this easier rather than bugging you. I am not good with these type of problems. PLEASE, PLEASE, PLEASE Help.

Algebra ->  Graphs -> SOLUTION: Hi Tutors, me again, if I could figure out your solvers I could get this easier rather than bugging you. I am not good with these type of problems. PLEASE, PLEASE, PLEASE Help.       Log On


   

Question 105896This question is from textbook Intermediate Algebra
: Hi Tutors, me again, if I could figure out your solvers I could get this easier rather than bugging you. I am not good with these type of problems. PLEASE, PLEASE, PLEASE Help.
Question: Use the slope form to determine the equation of the line passing through (7,6) and (1,-12). Then write the equation in slope intercept form????
Thank You. This question is from textbook Intermediate Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Write the equation, in slope-intercept form, of the line that passes through the points (7, 6) and (1, -12)
You can find the slope, m, of the line using:
m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 where: x%5B1%5D+=+7, y%5B1%5D+=+6, x%5B2%5D+=+1, and y%5B2%5D+=+-12
m+=+%28-12-6%29%2F%281-7%29
m+=+%28-18%29%2F%28-6%29
m+=+3
Now you can start the equation as:
y+=+mx%2Bb Replace the m with the slope just calculated: m = 3
y+=+3x%2Bb Now we need to find the value of b. You can do this by substituting into this equation, the x- and y-coordinates of either one of the two given points. Let's use the first point (7, 6)
y+=+3x%2Bb Substitute x = 7 and y = 6
6+=+3%287%29%2Bb Simplify and solve for b.
6+=+21%2Bb Subtract 21 from both sides.
-15+=+b Now you can write the final equation:
y+=+3x-15