SOLUTION: Write the equation of the line passing through the point ​(7​, -8​) with slope -6/7.

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line passing through the point ​(7​, -8​) with slope -6/7.      Log On


   

Question 1126371: Write the equation of the line passing through the point ​(7​, -8​) with slope -6/7.
Found 2 solutions by MathLover1, josmiceli:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

to find the equation of the line passing through the point (7,+-8) with slope m=-6%2F7, use point-slope formula:
y-y%5B1%5D=m%28x-x%5B1%5D%29...plug in (x%5B1%5D=7,y%5B1%5D=+-8) and m=-6%2F7
y-%28-8%29=-%286%2F7%29%28x-7%29
y%2B8=-%286%2F7%29x-%28-%286%2F7%29%297%29
y%2B8=-%286%2F7%29x%2B%286%2A7%29%2F7
y%2B8=-%286%2F7%29x%2B6
y=-%286%2F7%29x%2B6-8
y=-%286%2F7%29x-2







Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
use general point-slope formula
+%28+y+-%28-8%29+%29+%2F+%28+x+-+7+%29+=+-6%2F7+
+y+%2B+8+=+%28-6%2F7%29%2A%28+x+-+7+%29+
+7y+%2B+56+=+-6x+%2B+42+
+7y+=+-6x+-14+
+y+=+%28-6%2F7%29%2Ax+-+2+
---------------------------
check:
( 7, -8 )
+-8+=+%28-6%2F7%29%2A7+-+2+
+-56+=+-42+-+14+
+-56+=+-56+
OK