write y=(-3/4)x+3 in standard form using integers.
A. 3x+4y=12
B.3x+4y=-12
C. 3x-4y=12
D. -3x+4y=12
is a the answer
No, A is not the correct answer. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers. To rewrite the equation y = (-3/4)x + 3 in standard form using integers, we need to eliminate the fractions and rearrange the terms.
Multiplying the entire equation by 4 to eliminate the fraction, we get:
4y = (-3)x + 12
Next, let's rearrange the terms to have the x term before the y term:
(-3)x + 4y = 12
So, the correct answer in standard form is D. -3x + 4y = 12.
To convert the equation y = (-3/4)x + 3 into standard form using integers, we need to eliminate any fractions and ensure that the coefficients of x and y are integers.
Start by moving all the terms to one side of the equation:
y + (3/4)x = 3
Next, multiply every term in the equation by 4 to clear the fraction:
4y + 3x = 12
The equation 4y + 3x = 12 is now in standard form using integers. However, none of the options given (A, B, C, D) matches this equation exactly.
Out of the options given, the closest match is option D: -3x + 4y = 12. Although the signs are opposite, we can multiply every term in this equation by -1 to get the equivalent equation 3x - 4y = -12, which closely matches the standard form 4y + 3x = 12.
So, the closest answer is option D.