Write the standard form of the line that contains a slope of 1/2 and y-intercept of 3. Include your work in your final answer. Type your answer in the box provided to submit your solution.

The standard form of a line is Ax + By = C, where A, B, and C are integers, and A and B are not both zero.

Given the slope (m) is 1/2 and the y-intercept (b) is 3, we can start with the slope-intercept form of the line, which is y = mx + b.

Substituting the given values, we get:

y = 1/2x + 3

To convert this to standard form, we want to eliminate the fractions and have y on one side of the equation.

First, multiply every term by 2 to get rid of the fraction:

2y = x + 6

Then, to get y on one side of the equation, we can subtract x from both sides:

-x + 2y = 6

This is the standard form of the line. However, it's more common to see the x term as positive. So, we can multiply the entire equation by -1:

x - 2y = -6

So, the standard form of the line that contains a slope of 1/2 and y-intercept of 3 is x - 2y = -6.