Graph the system of equations.

Question

Graph the system of equations.

{2x−y=4x−y=−2



Use the Line tool to graph the lines.

Answer 1

Hello Iman,

Separate the compound equation into two separate equations.  That is,

 

2x - y = -2 and 4x - y = -2.  Then it would probably be easiest to write each in slope-intercept form:

 

y = 2x + 2 and y = 4x + 2

 

The first equation has a y-intercept of 2, with a slope of m = 2 = +2/+1(up two, right 1) = -2/-1 (down two, left 1)

 

The second equation has a y-intercept also of 2,

but with a slope of m = 4 = +4/+1 (up four, right 1) = -4/-1(down four, left one).

 

The point of intersection will be the y-intercept for this problem.

 

Hope the above helps.  Thank you for the question.

 

Kind regards,

Michael E.