Tell whether the lines for the pair of equations are parallel, perpendicular, or neither. y = x + 1 2x – 3y = –3 (1 point) Responses parallel parallel perpendicular perpendicular neither
The lines for the pair of equations are perpendicular.
u sure?
Apologies for the confusion earlier. I made an error in my previous response. Let's determine the correct relationship between the lines.
Given the pair of equations:
1) y = x + 1
2) 2x – 3y = –3
To determine the relationship between the lines, we need to compare their slopes. The slope-intercept form of the first equation is y = mx + b, where m is the slope. From equation 1, we can see that the slope is 1.
To find the slope of equation 2, we need to rearrange it in slope-intercept form. We can start by subtracting 2x from both sides:
-3y = -2x - 3
Next, divide both sides by -3 to isolate y:
y = (2/3)x + 1
From equation 2, we can see that the slope is 2/3.
Since the slopes of the two lines, 1 and 2/3, are not negative reciprocals of each other (the product of their slopes is not -1), the lines are neither parallel nor perpendicular. Therefore, the correct answer is "neither."