My Learning Cart
?
Categories
Account

What is the equation of a line with a slope of 2 that passes through the point (

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the equation of a line with a slope of 2 that passes through the point (1, 1)?

Options:

  1. y = 2x + 1
  2. y = 2x - 1
  3. y = 2x + 2
  4. y = 2x - 2

Correct Answer: y = 2x + 1

Solution: 

Using the point-slope form of the equation of a line: y - y1 = m(x - x1), we have y - 1 = 2(x - 1). Simplifying gives y = 2x - 2 + 1, or y = 2x - 1.

What is the equation of a line with a slope of 2 that passes through the point (

Practice Questions

Q1
What is the equation of a line with a slope of 2 that passes through the point (1, 1)?
  1. y = 2x + 1
  2. y = 2x - 1
  3. y = 2x + 2
  4. y = 2x - 2

Questions & Step-by-Step Solutions

What is the equation of a line with a slope of 2 that passes through the point (1, 1)?
  • Step 1: Identify the slope (m) and the point (x1, y1). Here, the slope is 2 and the point is (1, 1).
  • Step 2: Write down the point-slope form of the equation of a line: y - y1 = m(x - x1).
  • Step 3: Substitute the values into the equation: y - 1 = 2(x - 1).
  • Step 4: Distribute the slope (2) on the right side: y - 1 = 2x - 2.
  • Step 5: Add 1 to both sides to isolate y: y = 2x - 2 + 1.
  • Step 6: Simplify the equation: y = 2x - 1.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks