SOLUTION: Indicate in standard form the equation of the line passing through the given point and having the given slope. B(6, 2), m = -1/2

Algebra ->  Points-lines-and-rays -> SOLUTION: Indicate in standard form the equation of the line passing through the given point and having the given slope. B(6, 2), m = -1/2       Log On


   

Question 623770: Indicate in standard form the equation of the line passing through the given point and having the given slope.
B(6, 2), m = -1/2
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--

The Problem:
Indicate in standard form the equation of the line passing through the given point and having 
the given slope: B(6, 2), m = -1/2

A Solution:
We will begin by using the point-slope form to find the equation of a line. Then we'll translate 
that equation into standard form.
.
Point-Slope Form for the Equation of a Line looks like this: y-y%5B1%5D=m%28x-x%5B1%5D%29
where m is the slope and (x[1], y[1]) is a point on the line.

We have a slope m = -1/2 and point B(6,2) on the line. Substitute the known values into the 
equation.
y-2=%28-1%2F2%29%28x-6%29

Now we rearrange this equation into Standard Form: ax%2Bby=c
where a and b are the respective coefficients of x and y, and c is the constant term.

First, clear the parentheses on the right side of the equation by multiplying.
y-2=%28-1%2F2%29x%2B3

Add (1/2)x to both sides of the equation.
((((1/2)x+y-2=3}}}

Add 2 to both sides of the equation.
%281%2F2%29x%2By=5

Multiply every term by 2 to clear the fraction. Note that (1/2) * 2 = 1.
x%2B2y+=10

The equation is in standard form.

Feel free to email if you have questions about the solution.

Ms.Figgy
math.in.the.vortex@gmail.com