choose all the equations that have thr same steepness as y = 3/4x + 9
Select all correct options (MSQ
A. y = -3/4x - 6
B. y = -4/3x + 9
C. y = -9/12x - 2
D. y = 0.75x + 1
A. y = -3/4x - 6 is correct as it has the same slope of 3/4.
B. y = -4/3x + 9 is not correct as it has a slope of -4/3, which is the negative reciprocal of 3/4.
C. y = -9/12x - 2 simplifies to y = -3/4x - 2, which is correct as it has the same slope of 3/4.
D. y = 0.75x + 1 is correct as it has the same slope of 3/4.
Therefore, the correct options are A, C, and D.
To determine which equations have the same steepness as y = 3/4x + 9, we need to compare the coefficients of x. The coefficient of x represents the slope or steepness of the line.
The correct options are:
B. y = -4/3x + 9
D. y = 0.75x + 1
Option A, y = -3/4x - 6, has the same slope, but in the opposite direction. So it has the same steepness but a different sign.
Option C, y = -9/12x - 2, has a different coefficient for x. It simplifies to -3/4x - 2/4, which is not the same as 3/4x + 9.
So the correct options are B and D.
To determine which equations have the same steepness as y = 3/4x + 9, we need to compare the coefficients of the x terms. The equation y = 3/4x + 9 can be rewritten in the form y = mx + b, where m represents the slope (steepness) of the line.
In this case, the slope of the line is 3/4.
Now let's examine each option:
A. y = -3/4x - 6
The slope of this line is -3/4, which is not the same as 3/4. Therefore, option A is not correct.
B. y = -4/3x + 9
The slope of this line is -4/3, which is also not the same as 3/4. Therefore, option B is not correct.
C. y = -9/12x - 2
To compare the slope, we can simplify -9/12 to -3/4, which is the same as 3/4. Therefore, option C is correct.
D. y = 0.75x + 1
The slope of this line is 0.75, which is equivalent to 3/4. Therefore, option D is also correct.
In conclusion, options C and D have the same steepness as y = 3/4x + 9.