I am going to give you pairs of line equations and your going to tell me if they are parrallel, perpendicular, neither, or the same line.
7 answers
I'd be happy to help with that! Just provide me with the pairs of line equations so I can determine their relationship.
y=x+4
3y−3x=24
3y−3x=24
To determine the relationship between the two lines, we need to compare their slopes.
The first line, y = x + 4, is in slope-intercept form y = mx + b, where the slope (m) is 1.
To find the slope of the second line, we can rewrite the equation in slope-intercept form:
3y - 3x = 24
3y = 3x + 24
y = x + 8
The slope of the second line is also 1.
Since both lines have the same slope, they are parallel.
The first line, y = x + 4, is in slope-intercept form y = mx + b, where the slope (m) is 1.
To find the slope of the second line, we can rewrite the equation in slope-intercept form:
3y - 3x = 24
3y = 3x + 24
y = x + 8
The slope of the second line is also 1.
Since both lines have the same slope, they are parallel.
y+2/3x=4
3y+2x=12
3y+2x=12
To determine the relationship between the two lines, we need to compare their slopes.
The first line, y + (2/3)x = 4, can be rewritten in slope-intercept form as y = - (2/3)x + 4. The slope of this line is -2/3.
Similarly, the second line, 3y + 2x = 12, can be rewritten in slope-intercept form as y = -2/3x + 4. The slope of this line is -2/3.
Since the slopes of the two lines are the same (-2/3), the lines are parallel.
The first line, y + (2/3)x = 4, can be rewritten in slope-intercept form as y = - (2/3)x + 4. The slope of this line is -2/3.
Similarly, the second line, 3y + 2x = 12, can be rewritten in slope-intercept form as y = -2/3x + 4. The slope of this line is -2/3.
Since the slopes of the two lines are the same (-2/3), the lines are parallel.
wrong
Apologies for the mistake. Let's correct the analysis.
The first line, y + (2/3)x = 4, can be rewritten in slope-intercept form as y = - (2/3)x + 4. The slope of this line is -2/3.
The second line, 3y + 2x = 12, can be rewritten in slope-intercept form as y = -(2/3)x + 4. The slope of this line is -2/3.
Since the slopes of the two lines are the same (-2/3), the lines are parallel.
The first line, y + (2/3)x = 4, can be rewritten in slope-intercept form as y = - (2/3)x + 4. The slope of this line is -2/3.
The second line, 3y + 2x = 12, can be rewritten in slope-intercept form as y = -(2/3)x + 4. The slope of this line is -2/3.
Since the slopes of the two lines are the same (-2/3), the lines are parallel.