Question

To convert equations to standard form, you need to:

A) Express in slope-intercept form
B) Rearrange terms to have ax+by=c
C) Use the quadratic formula
D) Set the equation equal to zero

Answer 1

To convert an equation to standard form, you rearrange the equation to have ax+by=c, ensuring all variable terms are on one side and the constant on the other, with 'a' as a non-negative integer.

Correct option is B) Rearrange terms to have ax+by=c

Step-by-step explanation:

To convert equations to standard form, the correct procedure is to rearrange terms to have ax+by=c. This means you take an equation and move the terms involving variables (x and y) and constant terms on one side to set it in the form of ax+by=c where a, b, and c are real numbers, and a is typically a non-negative integer. This form is known as the standard form of a linear equation.

For example, the slope-intercept form of a linear equation is y = a + bx, where 'a' represents the y-intercept, and 'b' represents the slope of the line. This form can be rearranged into standard form by subtracting bx from both sides to get -bx + y = a, and then multiplying through by -1 if necessary to ensure that the coefficient of x is positive.