SOLUTION: Slope 1/6, passes through (18, 2) write the equation in slope-intercept form

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Slope 1/6, passes through (18, 2) write the equation in slope-intercept form      Log On


   



Question 1154241: Slope 1/6, passes through (18, 2)
write the equation in slope-intercept form

Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

You write literally as the condition instructs you

    y - 2 = %281%2F6%29%2A%28x-18%29.


Then you simplify

    y = %281%2F6%29%2Ax - 3 + 2.


    y = %281%2F6%29%2Ax - 1.    ANSWER


It is your equation in slope-intercept form.

See the lesson
    - Equation for a straight line having a given slope and passing through a given point
in this site and find all comprehensive instructions there.

My other lessons in this site related to the slope of a straight line are

    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point

    - OVERVIEW of lessons related to the slope of a straight line

Consider these lessons as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+m+=+1%2F6+
Use general point-slope formula
( 18, 2 )
----------
+%28+y+-+2+%29+%2F+%28+x+-+18+%29+=+1%2F6+
Multiply both sides by +6%2A%28+x+-+18+%29+
+6%2A%28+y+-+2+%29+=+x+-+18+
+6y+-+12+=+x+-+18+
+6y+=+x+-+6+
+y+=+%281%2F6%29%2Ax+-+1+ answer
------------------------
check:
( 18, 2 )
+y+=+%281%2F6%29%2Ax+-+1+
+2+=+%281%2F6%29%2A18+-+1+
+2+=+3+-+1+
+2+=+2+
OK