Question

Write the following equation in standard form.

A. y - 3 = -7/4x - 7
B. y = -7/4x + 7/4
C. 7/4x - y = 3
D. 7/4x + y = 3

Answer 1

The question asks to write the equation in standard form. The standard form of a linear equation is Ax + By = C. The correct standard form of the given equation is 7/4x + y = 3, which is option D.

Step-by-step explanation:

The question involves writing a given equation in standard form. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should not be negative. Starting with the provided equations, option A is not in standard form because it is in slope-intercept form. Option B is also in slope-intercept form. Option C is rearranged into standard form, but the sign of the x-term needs to be positive; hence, it is not the correct standard form. Option D correctly presents the equation in standard form, where A = 7/4, B = 1, and C = 3, with A being positive.