What is an equation of the line that passes through the point (4,1) and is perpendicular to the line 2x - y = 4?

Point-Slope Form: y - 1 = -1/2(x - 4) or Standard Form: y = -1/2x + 3

Step-by-step explanation:

For a line to be perpendicular, you take the negative inverse of the slope of 2x - y = 4. To do this, rearrange the y to one side and you get y = 2x - 4. The slope of the line is 2. So, taking the negative inverse would be -1/m (with m being slope of the the equation given in the problem. This would give you -1/2.

Using point slope formula, y - y1 = m(x - x1), you can plug in the point given, (4,1) and the slope you found to get y - 1 = -1/2(x - 4). For standard form, isolating the y gets you y = -1/2x + 3.

You can check your answer by using Desmos by putting in the line 2x - y = 4, the point (4,1), and the equation you got as your answer. You will see that the equation is perpendicular to 2x - y = 4 and passes through point (4,1). Your equation of the line is y - 1 = -1/2(x - 4) or y = -1/2x + 3

Hope this helps!

The estimated Bad Debt Expense for the period is $13,600

Explanation:

Quill Industries estimates of uncollectible receivables resulting from the aging analysis equals $20,000. The company uses the aging of accounts receivable method and the Allowance for Doubtful Accounts has credit balance of $6,400 before adjusting.

Bad debt Expense = $20,000 - $6,400 = $13,600

The entry:

Debit Bad debts expense $13,600

Credit Allowance for doubtful accounts $13,600