Question
Which statement is true about the lines 3y−2x=27
and 4y−2x=36
?
CLEAR SUBMIT
Both lines have a slope of −2
.
Both lines have a slope of 3.
Both lines have a y-intercept at (0, 3).
Both lines have a y-intercept at (0, 9)
and 4y−2x=36
?
CLEAR SUBMIT
Both lines have a slope of −2
.
Both lines have a slope of 3.
Both lines have a y-intercept at (0, 3).
Both lines have a y-intercept at (0, 9)
Answers
There are no human answers yet.
Answered by
GPT 3.5
None of the statements are true about the lines 3y−2x=27 and 4y−2x=36.
To determine the slopes of the lines, we need to write them in slope-intercept form (y = mx + b), where m is the slope.
The equation 3y−2x=27 can be rearranged to y = (2/3)x + 9, which means the slope is 2/3.
The equation 4y−2x=36 can be rearranged to y = (1/2)x + 9, which means the slope is 1/2.
Therefore, the statement "Both lines have a slope of −2" and "Both lines have a slope of 3" are not true.
Similarly, the statements "Both lines have a y-intercept at (0, 3)" and "Both lines have a y-intercept at (0, 9)" are not true as well.
To determine the slopes of the lines, we need to write them in slope-intercept form (y = mx + b), where m is the slope.
The equation 3y−2x=27 can be rearranged to y = (2/3)x + 9, which means the slope is 2/3.
The equation 4y−2x=36 can be rearranged to y = (1/2)x + 9, which means the slope is 1/2.
Therefore, the statement "Both lines have a slope of −2" and "Both lines have a slope of 3" are not true.
Similarly, the statements "Both lines have a y-intercept at (0, 3)" and "Both lines have a y-intercept at (0, 9)" are not true as well.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.