The first step is to rewrite the equations in slope-intercept form (y = mx + b), where m is the slope of the line.

The first equation is already in this form: y = -x + 2.

The second equation can be rewritten as follows: 4y + 4x = 8 becomes y + x = 2, which can be further simplified to y = -x + 2.

Now, we can compare the slopes of the two lines. The slope of the first line is -1, and the slope of the second line is also -1.

Since the slopes are equal and the y-intercepts are also the same (both are 2), the lines are the same.

So, the answer is "the same line".

Question

The first step is to rewrite the equations in slope-intercept form (y = mx + b), where m is the slope of the line.

The first equation is already in this form: y = -x + 2.

The second equation can be rewritten as follows: 4y + 4x = 8 becomes y + x = 2, which can be further simplified to y = -x + 2.

Now, we can compare the slopes of the two lines. The slope of the first line is -1, and the slope of the second line is also -1.

Since the slopes are equal and the y-intercepts are also the same (both are 2), the lines are the same.

So, the answer is "the same line".

Knowee AI · Accepted Answer

The first step is to rewrite the equations in slope-intercept form (y = mx + b), where m is the slope of the line.

The first equation is already in this form: y = -x + 2.

The second equation can be rewritten as follows: 4y + 4x = 8 becomes y + x = 2, which can be further simplified to y = -x + 2.

Now, we can compare the slopes of the two lines. The slope of the first line is -1, and the slope of the second line is also -1.

Since the slopes are equal and the y-intercepts are also the same (both are 2), the lines are the same.

So, the answer is "the same line".

The lines represented by the equations y, equals, minus, x, plus, 2y=−x+2 and 4, y, plus, 4, x, equals, 84y+4x=8 areAnswerMultiple Choice Answersparallelperpendicularneither parallel nor perpendicularthe same line