SOLUTION: x-2y=4 2x-4y=-12 graph both linear eqations in the same rectangular coordination system.Decide if the lines are parallel,perpendicular or neither

Question 217241: x-2y=4
2x-4y=-12
graph both linear eqations in the same rectangular coordination system.Decide if the lines are parallel,perpendicular or neither
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
x-2y=4
2x-4y=-12

Step 1. Let's put the above equations 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. Let's start with

Add 2y-4 to both sides of the equation

Divide 2 to both sides of the equation

or

Step 3. In Step 2, the slope m=1/2 and the y-intercept b=-2.

Step 4. Next, let's look at and put it in slope-intercept form.

Add 4y+12 to both sides of the equation

Divide 4 to both sides of the equation.

or

Step 4. In Step 3, the slope m=1/2 and the y-intercept b=3.

Step 5. ANSWER: Based on Steps 2 and 4, the slopes are both equal to 1/2 which means the lines are parallel. This will be evident on the graph below in Step 6.

Step 6. ANSWER: Now, graph the equations that is now in slope-intercept form (note on the graph the y-intercepts at x=0 to know which equation is which)

I hope the above steps were helpful.

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.

And good luck in your studies!

Respectfully,
Dr J

RELATED QUESTIONS
graph both linear equations in the same retranglar coornate system. Decide if the lines... (answered by ewatrrr)

Graph both linear equations in the same rectangular coordinate. 2x-4y=-4... (answered by Fombitz)

solve the system of linear eqations by sybstitution. x+2y=6 and 2x+3y=8 i do have the... (answered by ewatrrr)

decide whether the graphs of the two equations are parallel lines:... (answered by stanbon)

the lines 2x+4y=8 and 2x-y=12 are: The same line Oblong Parallel... (answered by checkley79)

Please help me with the follwing problem: Use substitution to solve the linear system. (answered by Alan3354)

DECIDE IF THE GRAPH OF THE SYSTEM IS A PAIR OF PARALLEL LINES, INTESECTING LINES, OR ONE... (answered by scott8148)

Determine whether the lines are parallel, perpendicular or neither. x + 2y=5 and -2x... (answered by josgarithmetic)

Which of the following describes the graph of the solutions to the system { 2x-4y=-1 (answered by bmauger)