SOLUTION: Solve the equation of a line in slope intercept form that has a slope of -5/9 and passes through the point (18,7) I am supposed to get this from point slope to slope intercept this

Algebra ->  Expressions-with-variables -> SOLUTION: Solve the equation of a line in slope intercept form that has a slope of -5/9 and passes through the point (18,7) I am supposed to get this from point slope to slope intercept this      Log On


   



Question 724246: Solve the equation of a line in slope intercept form that has a slope of -5/9 and passes through the point (18,7) I am supposed to get this from point slope to slope intercept this is what the equation looks like y-18=-5/9(x-7) PLEASE HELP!
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the equation of a line in slope intercept form that has a slope of -5/9 and passes through the point (18,7)
-----
I am supposed to get this from point slope to slope intercept this is what the equation looks like y-18=-5/9(x-7) PLEASE HELP!
-----
You are being asked to use the point-slope formula to find the equation.
slope = (change in y)/(change in x)
----
(x,y) and (18,7) are two points on the line.
-----
(y-7)/(x-18) = -5/9
-----
y-7 = (-5/9}(x-18)
y-7 = (-5/9)x + 10
-----
Ans: y = (-5/9)x + 17
------
An easier way to do these when you have a point and the slope is as follows:
Form: y = mx + b
Substitute for y,x, and m ; solve for "b":
7 = (-5/9)18 + b
7 = -10 + b
b = 17
----
Equation:
y = (-5/9)x + 17
=====================
Cheers,
Stan H.
===========

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = slope
Say you are given the point ( x1 , y1 )
The general form for the point-slope formula is
+%28+y+-+y%5B1%5D+%29+%2F+%28+x+-+x%5B1%5D+%29+=+m+
You are given:
( x1 , y1 ) = ( 18,7 )
++m+=+-5%2F9+
--------------
Plugging in these numbers,
+%28+y+-+7+%29+%2F+%28+x+-+18+%29+=+-5%2F9+
Multiply both sides by +9%2A%28+x+-+18+%29+
+9%2A%28+y+-+7+%29+=+-5%2A%28+x+-+18+%29+
+9y+-+63+=+-5x+%2B+90+
+9y+=+-5x+%2B+153+
+y+=+%28-5%2F9%29%2Ax+%2B+17+
--------------------
check:
Does it go through ( 18,7 ) ?
+y+=+%28-5%2F9%29%2Ax+%2B+17+
+7+=+%28-5%2F9%29%2A18+%2B+17+
+7+=+-10+%2B+17+
+7+=+7+
OK