Question 214223: WHAT IS THE EQUATION OF A LINE THAT PASSES THROUGH THE POINT (4,-5)AND IS PARALLEL TO 3X+2Y=12? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! WHAT IS THE EQUATION OF A LINE THAT PASSES THROUGH THE POINT (4,-5)AND IS PARALLEL TO 3X+2Y=12?
Step 1. Let's rewrite 3x+2y=12 in slope intercept form given as y=mx+b where m is the slope and b is the y-intercept. The y-intercept occurs when x=0 or at point(0,b).
Subtract 3x from both sides of equation
Divide by 2 to both sides of equation
Step 2. In Step 1, we see the slope m = -3/2 and b=6.
Step 3. Lines are parallel when they have the same slope or m=-3/2
So our line is in the form of y=-3x/2+b. Now to find b let's use the given point (4,-5) where x=4 and y=-5. Substitute these values in the equation to give
Step 4. ANSWER: Solution is
Graph of these two lines are shown below (note the same slope and the y-intercept for both lines when x=0):
I hope the above steps were helpful.
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