Are the lines parallel and how did I come to this conclusion?
y + x = -5 and y - x = -5
first I it so y is by itself
y = -x -5
second equation = y = x +5
Would the answer be yes?
y= -5 and y = 5?
Not sure I really understand thx.
The slope of an equation
y=mx+c is equal to m.
Therefore the slope of
y = -x -5 is -1, and the slope of
y = x +5 is +1.
Two parallel lines MUST have the same slope, and vice versa. So what is your conclusion, and why?
I would say that the lines are NOT parallel and are perpendicular. The y intercept for the first equation is 0, -5 and the second is 0 + 5
To determine if the given lines are parallel, you need to compare their slopes. In the slope-intercept form (y = mx + b), the coefficient of x (m) represents the slope of the line. If the slopes of two lines are equal, then the lines are parallel.
Let's start by rearranging the given equations into slope-intercept form:
1. y + x = -5
Subtract x from both sides: y = -x - 5
2. y - x = -5
Add x to both sides: y = x - 5
Now we can see that the slopes of the lines are -1 and 1, respectively. Since these slopes are not equal, the lines are not parallel.
To summarize:
y + x = -5 has a slope of -1
y - x = -5 has a slope of 1
Therefore, the lines are not parallel.