compare the slopes and tell whether the lines are parallel.
y = x + 2 and y = -x -3
can you tell me how to set up the problem so that I can do it.
The problem is already set up and can be answered by inspection.
Look at the coefficients in front of the x in each equation. There is just a + and a -, which implies one equation has +1 slope and the other a -1 sope. ("1" is never written as a coefficient - the absence of a number in front of x implies "1").
With unequal slopes, the lines are not parallel.
To determine whether two lines are parallel, you need to compare their slopes. If the slopes are equal, then the lines are parallel; otherwise, they are not parallel.
To set up the problem, first, you need to express the equations of both lines in slope-intercept form, which is in the form "y = mx + b" where "m" represents the slope and "b" represents the y-intercept.
For the first equation, y = x + 2, the slope is 1 (the coefficient of x) since there is no number explicitly multiplied to x. The y-intercept is 2 (the constant term).
For the second equation, y = -x - 3, the slope is -1 (the coefficient of x, which has a negative sign). The y-intercept is -3 (the constant term).
Now that you have the slopes, you can compare them. In this case, the slope of the first line is 1, while the slope of the second line is -1. Since the slopes are not equal, the two lines are not parallel.
So, to summarize:
The slope of the first line, y = x + 2, is 1.
The slope of the second line, y = -x - 3, is -1.
Since the slopes are not equal, the lines are not parallel.