SOLUTION: I need help finding an equation of the line containing the given pair of points. Answer needs to be in x=a, y=b, or y=mx+b. (-9, -9) and (2, 2) y=

Algebra ->  Graphs -> SOLUTION: I need help finding an equation of the line containing the given pair of points. Answer needs to be in x=a, y=b, or y=mx+b. (-9, -9) and (2, 2) y=      Log On


   

Question 449100: I need help finding an equation of the line containing the given pair of points. Answer needs to be in x=a, y=b, or y=mx+b.
(-9, -9) and (2, 2)
y=
Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
==> Find the slope. Using points (x%5B1%5D, y%5B1%5D) and (x%5B2%5D, y%5B2%5D), the equation for slope (m) is
Simplify: m+=+%282+%2B+9%29%2F%282+%2B+9%29
Add: m+=+11%2F11
Simplify/Divide: m+=+1
So, the slope of your equation is 1.
==> Next, find the equation of the line by plugging in the slope and coordinates of one of the points in to point-slope form, or y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29. For (x%5B1%5D, y%5B1%5D), I am going to choose (-9, -9), but you could also use (2, 2). y+-+%28-9%29+=+1%28x+-+%28-9%29%29
Simplify: y+%2B+9+=+1%28x+%2B+9%29
Since 1*a = a, you can simplify 1(x + 9) into just x + 9: y+%2B+9+=+x+%2B+9
Subtract 9 from both sides: y+=+x
That is in y = mx + b form, as it can also be seen as y = 1x + 0.
***THEREFORE, YOUR FINAL ANSWER IS y+=+x