Welcome to gimpppa.org inquiry & answers Community. Ask any math/science homework question and receive answers from various other members of the community.Q&A CategoriesBASIC MATH(93)PRE-ALGEBRA(441)ALGEBRA 1(2,216)GEOMETRY(864)ALGEBRA 2(2,745)TRIGONOMETRY(1,186)PRECALCULUS(1,903)CALCULUS(2,791)STATISTICS(129)PHYSICS(658)CHEMISTRY(136)MECHANICAL ENGINEERING(64)ELECTRICAL ENGINEERING(207)Winplot Tutorials(2)
Most famous tagssolving-equationssystem-of-equationsfunctionsmathslope-intercept-formphysicshomework-helptrigonometric-identitiesintegrationsubstitution-methodlimitscalculus13,435 questions17,804 answers1,438 comments132,378 users
Solve by Graphing: 2x +2y = -8, y= 2x + 2 0 votes

Solve by Graphing:2x +2y = -8y= 2x + 2

system-of-equations-by-graphingaskedDec 4, 2013in ALGEBRA 1by rockstarApprentice
you re welcome log in or it is registered to include a comment. please log in or register to answer this question. 2 answers 0 votes

Given equations space 2x+2y = -8

Subtract 2x from each side.

You are watching: Solve the following for y 2x 2y=8

2x-2x+2y = -2x-8

Divide to each side by 2.

2y/2 = -2x/2-8/2

y = -x-4

And y = 2x+2

To find coordinate pair instead of x = 0,1,-1 in above equations,

The the point out of an initial equation would certainly be (0,-4),(1,-5),(-1,-3)

Points of second equation would be (0,2),(1,4),(-1,0)

Graph of over equations

Draw the coordinate plane.

Plot the over points.

Connect the above points.

Then the formed lines indicating above equations.


Observe the graph the 2 lines are intersecting at (-2,-2).

Solution that the provided system is x = -2, y = -2.

answeredDec 26, 2013by davidExpert please log in or it is registered to add a comment. 0 votes

The device of equations room 2x + 2y = - 8 and also y = 2x + 2.

Write the equations in steep - intercept form : y = mx + b, where m is slope and b is y - intercept.

The very first equation is 2x + 2y = - 8.

x + y = - 4

y = - x - 4.

Compare the equation with slope - intercept type : y = mx + b.

slope = - 1 and also y - intercept is - 4.

y - intercept is - 4, so the line crosses the y - axis at (0, - 4).

Using slope find the following point.

Slope = rise/run = - 1/1

Start at allude (0, - 4), relocate 1 unit down and 1 unit right, climate plot the point (1, - 5).

The second linear equation is y = 2x + 2.

It is already in steep - intercept form.

Compare the equation v slope - intercept kind : y = mx + b.

slope = 2 and y - intercept is 2.

y - intercept is 2, therefore the line crosses the y - axis in ~ (0, 2)

Using slope uncover the following point.

Slope = rise/run = 2/1

Start at point (0, 2), relocate 2 systems up and 1 unit right, climate plot the allude (1, 4).

Draw the lines v these points.

See more: Why Is Di Water Used As A Blank Used Instead Of Distilled Water?

Graph :


Observe the graph, the equipment of the device (x, y ) = (- 2, - 2).

answeredJun 2, 2014by lillyExperteditedJun 2, 2014by lilly please log in or it is registered to add a comment. related questionssolve the device of equation through graphing. 2x-y=-6, x+2y=2askedDec 4, 2013in ALGEBRA 1by andrewScholarsystem-of-equations-by-graphing fix the mechanism of direct equations by graphing 2x+y=6, 4x+y=6askedDec 4, 2013in ALGEBRA 1by paytonApprenticesystem-of-equations-by-graphing exactly how do you settle each linear system through graphing y=x+3, y=-2x+6askedDec 4, 2013in ALGEBRA 1by lindaScholarsystem-of-equations-by-graphing resolve the device of linear equations through graphing 3x+y=-1askedDec 4, 2013in ALGEBRA 1by johnkellyApprenticesystem-of-equations-by-graphing i need assist solving the straight system through graphing 7x+5y=-3 and -9x+y=-11.askedFeb 17, 2014in ALGEBRA 1by futaiScholarsystem-of-equations-by-graphingsystem-of-equations fix each equation through graphing -x^3-3x-2=0askedDec 4, 2013in ALGEBRA 2by skylarApprenticesystem-of-equations-by-graphing fix the system of equations by graphing ~ above a paper of paper, and also then state the solution.askedMar 17, 2014in ALGEBRA 1by futaiScholarsolving-equationssystem-of-equations-by-graphing solve the system of equations by graphingaskedMar 17, 2014in ALGEBRA 1by mathgirlApprenticesystem-of-equations-by-graphingsystem-of-equations deal with the adhering to sysstem of equations by graphing:askedMar 17, 2014in ALGEBRA 1by lindaScholarsystem-of-equations-by-graphingsystem-of-equations fix the systems of straight equation through graphingaskedDec 4, 2013in ALGEBRA 1by abstain12Apprenticesystem-of-equations-by-graphing deal with the mechanism by graphingaskedNov 11, 2014in ALGEBRA 2by anonymoussystem-of-equations-by-graphing deal with the device of equations by graphing.askedOct 22, 2014in PRECALCULUSby anonymoussystem-of-equations-by-graphing exactly how do i settle the device by graphing.?askedJul 16, 2014in ALGEBRA 2by anonymoussystem-of-equations-by-graphing can you fix the device of equation by graphingaskedDec 4, 2013in ALGEBRA 2by mathgirlApprenticesystem-of-equations-by-graphing device of equations by graphing?askedJun 20, 2014in ALGEBRA 1by anonymoussystem-of-equations-by-graphing 2x+3y>=6, x-y>=3 and also yaskedMar 11, 2014in ALGEBRA 2by chrisgirlApprenticesystem-of-equations-by-graphing 2x-y=0 and also 4x-y=2askedFeb 19, 2014in ALGEBRA 1by harvy0496Apprenticesystem-of-equationssystem-of-equations-by-graphing determine if the adhering to ordered pair satisfies the device of linear equations by graphingaskedMar 11, 2014in ALGEBRA 2by angel12Scholarsystem-of-equations-by-graphingsolving-equations 3x-2y=8 and also 4y=6x-5askedMar 5, 2014in ALGEBRA 2by angel12Scholarsystem-of-equations-by-graphingsolving-equations when solving the device of equations by graphing, what is the systems of 3x + 2y = 2 and also 2x – y = 6?askedFeb 12, 2014in ALGEBRA 2by mathgirlApprenticesystem-of-equations