Step 1. Let's put the equation in slope-intercept form given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point(0,b).
Step 2. Putting in slope-intercept form yields the following steps.
Add 2y+6 to both sides of the equation
Divide 2y to both sides of the equation
Step 3. ANSWER: The equation is where the slope m=-2 and y-intercept b=3.
Need one more point to graph the line since we have (0,3) as one point. A slope m=-2 means every move to one unit to the right yields two step downward.
So starting at (0,3) then one unit to the right means x2=0+1=1 and then two units down means y2=3-2=1. Then, the other point we can use to plot the line is (1,1). We can check if it satisfies the equation or
which it does.
Here's the graph:
I hope the above steps and explanation were helpful.
For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry please visit http://www.FreedomUniversity.TV/courses/Trigonometry.
Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.
