The equation of Line 1: 2x - 4y = 16 can be rewritten as y = (1/2)x - 4. This means that Line 1 has a slope of 1/2.
The equation of Line 2: y = -3/4x - 3 has a slope of -3/4.
The equation of Line 3: y - 5 = -2 (x+1) can be rewritten as y = -2x - 3, which means that Line 3 has a slope of -2.
From the given slopes, it is clear that Line 3 has the least steep slope, so the statement "Line 3 has the least steep slope" is true.
However, none of the other statements are true based on the given information.
The equation of Line 1: 2x - 4y = 16
The equation of Line 2: y = - 3/4x -3
The equation of Line 3: y - 5 = -2 (x+1)
Which statement is true?
(2 points)
O Line 1 has the steepest slope.
O Line 3 has the least steep slope.
O Line 3 has a decreasing graph.
O Line 2 has the biggest y-intercept.
O Line 1 has the biggest y-intercept.
O Line 2 has an increasing graph.
7 answers
That’s not true
Apologies for the incorrect response. Let's reevaluate the statements based on the given equations:
The equation of Line 1: 2x - 4y = 16 can be rewritten as y = (1/2)x - 4. This means that Line 1 has a slope of 1/2.
The equation of Line 2: y = -3/4x - 3 has a slope of -3/4.
The equation of Line 3: y - 5 = -2 (x+1) can be rewritten as y = -2x - 3, which means that Line 3 has a slope of -2.
Now, comparing the slopes:
1/2 is greater than -3/4, which means Line 1 has a steeper slope than Line 2. Therefore, the statement "Line 1 has the steepest slope" is true.
-2 is the least steep slope out of 1/2, -3/4, and -2. Therefore, the statement "Line 3 has the least steep slope" is also true.
Based on the slopes, we cannot determine whether Line 3 has a decreasing graph or an increasing graph. Therefore, the statement "Line 3 has a decreasing graph" or "Line 3 has an increasing graph" cannot be determined.
As for the y-intercepts:
Line 1 has a y-intercept of -4, Line 2 has a y-intercept of -3, and Line 3 has a y-intercept of -3. Among these, Line 2 has the biggest y-intercept. Therefore, the statement "Line 2 has the biggest y-intercept" is true.
In conclusion, the correct statement is:
- Line 1 has the steepest slope.
- Line 3 has the least steep slope.
- Line 2 has the biggest y-intercept.
The equation of Line 1: 2x - 4y = 16 can be rewritten as y = (1/2)x - 4. This means that Line 1 has a slope of 1/2.
The equation of Line 2: y = -3/4x - 3 has a slope of -3/4.
The equation of Line 3: y - 5 = -2 (x+1) can be rewritten as y = -2x - 3, which means that Line 3 has a slope of -2.
Now, comparing the slopes:
1/2 is greater than -3/4, which means Line 1 has a steeper slope than Line 2. Therefore, the statement "Line 1 has the steepest slope" is true.
-2 is the least steep slope out of 1/2, -3/4, and -2. Therefore, the statement "Line 3 has the least steep slope" is also true.
Based on the slopes, we cannot determine whether Line 3 has a decreasing graph or an increasing graph. Therefore, the statement "Line 3 has a decreasing graph" or "Line 3 has an increasing graph" cannot be determined.
As for the y-intercepts:
Line 1 has a y-intercept of -4, Line 2 has a y-intercept of -3, and Line 3 has a y-intercept of -3. Among these, Line 2 has the biggest y-intercept. Therefore, the statement "Line 2 has the biggest y-intercept" is true.
In conclusion, the correct statement is:
- Line 1 has the steepest slope.
- Line 3 has the least steep slope.
- Line 2 has the biggest y-intercept.
There is only one answer
Apologies for the confusion. Based on the given equations:
The equation of Line 1: 2x - 4y = 16 can be rewritten as y = (1/2)x - 4. This means that Line 1 has a slope of 1/2.
The equation of Line 2: y = -3/4x - 3 has a slope of -3/4.
The equation of Line 3: y - 5 = -2 (x+1) can be rewritten as y = -2x - 3, which means that Line 3 has a slope of -2.
Comparing the slopes:
1/2 is greater than -3/4, which means Line 1 has a steeper slope than Line 2. Therefore, the statement "Line 1 has the steepest slope" is true.
-2 is the least steep slope out of 1/2, -3/4, and -2. Therefore, the statement "Line 3 has the least steep slope" is also true.
Based on the slopes, we cannot determine whether Line 3 has a decreasing graph or an increasing graph. Therefore, the statement "Line 3 has a decreasing graph" or "Line 3 has an increasing graph" cannot be determined.
As for the y-intercepts:
Line 1 has a y-intercept of -4, Line 2 has a y-intercept of -3, and Line 3 has a y-intercept of -3. Among these, Line 2 and Line 3 have the same y-intercept. Therefore, the statement "Line 2 has the biggest y-intercept" or "Line 3 has the biggest y-intercept" cannot be determined.
Apologies for the mistake in my previous response. Based on the given information, we cannot determine which statement is true.
The equation of Line 1: 2x - 4y = 16 can be rewritten as y = (1/2)x - 4. This means that Line 1 has a slope of 1/2.
The equation of Line 2: y = -3/4x - 3 has a slope of -3/4.
The equation of Line 3: y - 5 = -2 (x+1) can be rewritten as y = -2x - 3, which means that Line 3 has a slope of -2.
Comparing the slopes:
1/2 is greater than -3/4, which means Line 1 has a steeper slope than Line 2. Therefore, the statement "Line 1 has the steepest slope" is true.
-2 is the least steep slope out of 1/2, -3/4, and -2. Therefore, the statement "Line 3 has the least steep slope" is also true.
Based on the slopes, we cannot determine whether Line 3 has a decreasing graph or an increasing graph. Therefore, the statement "Line 3 has a decreasing graph" or "Line 3 has an increasing graph" cannot be determined.
As for the y-intercepts:
Line 1 has a y-intercept of -4, Line 2 has a y-intercept of -3, and Line 3 has a y-intercept of -3. Among these, Line 2 and Line 3 have the same y-intercept. Therefore, the statement "Line 2 has the biggest y-intercept" or "Line 3 has the biggest y-intercept" cannot be determined.
Apologies for the mistake in my previous response. Based on the given information, we cannot determine which statement is true.
Summarize this
Based on the given equations:
Line 1 has a steeper slope than Line 2, and Line 3 has the least steep slope among the three lines.
The graph of Line 3 cannot be determined as increasing or decreasing based on the given information.
The statement regarding the y-intercepts of Line 2 and Line 3 cannot be determined with the given information.
Therefore, it is not clear which statement is true based on the given equations.
Line 1 has a steeper slope than Line 2, and Line 3 has the least steep slope among the three lines.
The graph of Line 3 cannot be determined as increasing or decreasing based on the given information.
The statement regarding the y-intercepts of Line 2 and Line 3 cannot be determined with the given information.
Therefore, it is not clear which statement is true based on the given equations.
1 answer