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)
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.