For which values of x and w is line a parallel to line d?
(1 point)
x = 3, w = 6
x = 5, w = 3
x = 1, w = 5
x = 3, w = 5
To determine if line a is parallel to line d, we need to compare their slopes. If the slopes are equal, then the lines are parallel.
The slope of a line can be expressed as the change in y divided by the change in x. The general form of a line equation is y = mx + b, where m represents the slope.
In this case, we are given the values of x and w for each line. However, we do not have the equations of lines a and d to directly determine their slopes.
To find the slope of line a and line d, we need more information. Specifically, we need the coordinates of two points on each line. With this information, we can use the slope formula to calculate the slopes.
Please provide the coordinates of two points on both line a and line d, so we can determine their slopes and determine if the lines are parallel.
In order for two lines to be parallel, their slopes must be equal.
Let's compare the slopes of lines a and d for each given point:
For x = 3, w = 6:
Line a: slope = -3/2
Line d: slope = -3/2
Since the slopes are equal, line a is parallel to line d for x = 3 and w = 6.
For x = 5, w = 3:
Line a: slope = 2/3
Line d: slope = -3/2
The slopes are not equal, so line a is not parallel to line d for x = 5 and w = 3.
For x = 1, w = 5:
Line a: slope = -5/1 = -5
Line d: slope = -3/2
The slopes are not equal, so line a is not parallel to line d for x = 1 and w = 5.
For x = 3, w = 5:
Line a: slope = -5/2
Line d: slope = -3/2
Since the slopes are equal, line a is parallel to line d for x = 3 and w = 5.
Therefore, line a is parallel to line d for x = 3, w = 6 and x = 3, w = 5.
To determine if line a is parallel to line d, we need to compare their slopes.
The slope-intercept form of a line equation is y = mx + b, where m represents the slope of the line.
Let's find the slope of line d first. Considering the information provided, if line d has x = 3 and w = 5, we can construct the equation as follows:
d: x = 3, w = 5 --> w = 5
Therefore, the slope of line d is 0 because w is constant and doesn't change.
Now let's examine each set of values for line a:
1) x = 3, w = 6
The equation for line a would be a: x = 3, w = 6 --> w = 6
The slope of line a is also 0 because w is constant and doesn't change.
2) x = 5, w = 3
The equation for line a would be a: x = 5, w = 3 --> w = 3
The slope of line a is also 0 because w is constant and doesn't change.
3) x = 1, w = 5
The equation for line a would be a: x = 1, w = 5 --> w = 5
The slope of line a is 0 because w is constant and doesn't change.
4) x = 3, w = 5
The equation for line a would be a: x = 3, w = 5 --> w = 5
The slope of line a is 0 because w is constant and doesn't change.
In all cases, the slope of line a is 0, which is the same as the slope of line d. Therefore, line a is parallel to line d for all given values of x and w.