SOLUTION: what is the equation of the line that passes throught the point (8,3) and has a slope of -1/2

Algebra ->  Graphs -> SOLUTION: what is the equation of the line that passes throught the point (8,3) and has a slope of -1/2      Log On


   



Question 1145841: what is the equation of the line that passes throught the point (8,3) and has a slope of -1/2
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
-----------------------------------------------------------------
what is the equation of the line that passes throught the point (8,3) and has a slope of -1/2
--------------------------------------------------------------


-------------------------------------------------------------
What is the equation of the line that passes through the point (h,k) and has a slope of n/d ?
-------------------------------------------------------------

%28y-k%29%2F%28x-h%29=n%2Fd
y-k=%28n%2Fd%29%28x-h%29-----------point-slope form
y=%28n%2Fd%29%28x-h%29%2Bk
y=%28n%2Fd%29x-nh%2Fd%2Bk
y=%28n%2Fd%29x-%28nh%2Fd-k%29
y=%28n%2Fd%29x%2B%28k-nh%2Fd%29---------- a possible expression of equation in slope-intercept form

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
An equation of the line that passes through the point (a,b) and has the slope "m" is


    y-b = m*(x-a).


In your case an equation of the line is


    y - 3 = %28-1%2F2%29%2A%28x-8%29.


It is just your answer.


You can transform this equation to any other equivalent form.

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

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.