Question 218681: Consider the following equation of a line.
2x + 3y − 6 = 0
(a) Find the slope and y-intercept (if possible) of the line specified by the equation. (If an answer is undefined, enter UNDEFINED.)
m = ?
(x,y)=?
Answer by drj(1380)   (Show Source):
You can put this solution on YOUR website! Consider the following equation of a line.
2x + 3y − 6 = 0
(a) Find the slope and y-intercept (if possible) of the line specified by the equation. (If an answer is undefined, enter UNDEFINED.)
m = 2 This is the slope. See steps below
(x,y)= (0,2) This is the y-intercept. See steps below.
Step 1. The slope-intercept from is given as y=mx+b where m is the slope and b is the y-intercept at x=0 or at point (0,b).
Step 2. Put the given equation in slope intercept form.
Add 6-2x to from both sides of the equation
Divide 3 to both sides of equation
Step 3. The equation has a slope m=-2/3 and y-intercept b=2 or at point(0,2).
Now the slope of  for every 3 units you go the right, you go two units down.
To plot the line take the y-intercept at point (0,2). So starting at point (0,2) or x1=0 and y1=2 we go three units to the right means x2=0+3=3 and 3 units down means y2=2-2=0. So we have two points (0,2) and (3,0).
I hope the above explanation was useful.
And good luck in your studies!
For free Step-By-Step Videos on Introduction to Algebra, please visit
http://www.FreedomUniversity.TV/courses/IntroAlgebra or for Trigonometry visit
http://www.FreedomUniversity.TV/courses/Trigonometry.
Respectfully,
Dr J
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