Are the graphs of the equations y-2x+3 and 2x+y=7, parallel, perpendicular, or neither

Answer 1

An equation must have an = sign. Since Y - 2X + 3 doesn't, we can only guess where one should go.

We could say:

Y - 2X = 3 or Y = - 2X + 3 or Y - 2X + 3 = 0

Then we need to get both equations in the Y = mX + b format, where m is the slope and b is the Y-intercept.

No matter how we do the non-equation, we get a slope of 2. The Y-intercept is 3 or - 3. I'll let you do the

reformatting of the real equation. Notice that the Y-intercepts of the two are different and that the slopes

have different signs.

The two slopes will tell us the answer to the question. If they're the same, the lines the equations

represent are parallel. If they have different signs AND one is a reciprocal of the other, the lines are

perpendicular. If neither is the case, then the answer is neither.

Answer 2

I'll GUESS that you meant:

y - 2x = 3

and

2x + y = 7

Rewrite each one like this:

y = 2x + 3

y = -2x + 7

They are now in the standard format: y = mx + b, where m is the slope.

Parallel lines have the same slope, and perpendicular lines have slopes that are the negative inverse. Thus, for example, if a line has a slope of 2, the perpendicular line has a slope of -1/2