7)
Compare the following functions.
Equation A: 9x-3y=-12
Equation B: 15x+5y=-20
Which statement about the functions is true?
The slope of both functions are the same
The y-intercepts of both functions are the same
The slopes and y-intercepts of both functions are different
OOO
The slopes and y-intercepts of both functions are the same
The slopes and y-intercepts of both functions are different.
To find the slope of these functions, we need to rearrange each equation into slope-intercept form (y = mx + b) where 'm' is the slope and 'b' is the y-intercept.
For Equation A:
9x - 3y = -12
-3y = -9x - 12
y = 3x + 4
For Equation B:
15x + 5y = -20
5y = -15x - 20
y = -3x - 4
As we can see, the slopes of Equation A and Equation B are 3 and -3 respectively, which means they are different.
Also, the y-intercepts of Equation A and Equation B are 4 and -4 respectively, which means they are different.
Therefore, the correct statement is: The slopes and y-intercepts of both functions are different.