Compare the equations −12x+y=8 and 12y=14x−4 . Identify the true statement

Answer 1

To compare the equations −12x+y=8 and 12y=14x−4, we can rearrange the equations to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Rearranging the first equation:
−12x + y = 8
y = 12x + 8

Rearranging the second equation:
12y = 14x − 4
y = (14/12)x - (4/12)
y = (7/6)x - (1/3)

Comparing the two equations, we can see that they have different slopes and y-intercepts. Therefore, the true statement is that the two equations represent two different lines in the coordinate plane.