SOLUTION: consider this equation 4x-6y=12 a)what do you suppose the graph of this eqation looks like? justify your answer. b)solve the equation for y and graph the equation. c)explain how

Question 53609This question is from textbook algebra 2
: consider this equation 4x-6y=12
a)what do you suppose the graph of this eqation looks like? justify your answer.
b)solve the equation for y and graph the equation.
c)explain how to find the x- and y-intercept. be complete so that you can give your explanation to someone who is still having trouble with intercepts and he or she will be able to follow and understand your explanation.
d)which form of the equation is the best for finding intercepts quickly?why?
e)use the intercepts you found inpart (c) to graph the line. did you get the same line you got in part (b)? should you? explain This question is from textbook algebra 2

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
YOU'VE ASKED FOR A COMPLETE GEOMETRY LESSON USING GRAPHS. NOT WHAT WE'RE HERE FOR. BUT HERE'S SOME HELP.
THE EQUATION 4X-6Y=12 IN SLOPE INTERCEPT FORM IS -6Y=-4X+12 MULTIPLYING BOTH SIDES BY -I WE GET 6Y=4X-12 OR Y=4/6X-12/6 OR Y=2/3X-2
NOW WE HAVE A LINE DEFINED BY A SLOPE OR 2/3 AND A Y INTERCEPT OF -2 (0,-2) WHICH SAYS WHEN THE X VALUE IS 0 THE Y VALUE IS -2.
SETTING THE Y VALUE TO ZERO WE FIND THE X INTERCEPR THUS 0=2/3X-2 OR 2/3X=2 OR CROSS MULTIPLYING WE GET 2X=6 OR X=6/2 OR X=3 WHEN Y=0 OR (3,0) IS A SECOND POINT ON THE LINE Y=2/3X-2.
TO FIND ANY OTHER POINT ON THIS LINE JUST IDENTIFY AN X OR A Y POINT SUBSTITUTE THIS VALUE IN THIS EQUATION Y=2/3X-2 AND SOLVE FOR THE OTHER UNKNOWN.
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