Question

Equation of line with slope 2 passing through origin:

• A. $y = 2x$
• B. $x = 2y$
• C. $y = x + 2$
• D. $y = 2$

Hint:

Any line passing through the origin will never have a constant term added or subtracted (it will always be in the form $y = mx$).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
The slope-intercept form of a line is $y = mx + c$, where $m$ is the slope and $c$ is the y-intercept.
Step 2: Detailed Explanation:
1. Given slope ($m$) = 2. 2. The line passes through the origin $(0,0)$, which means the y-intercept ($c$) is 0. 3. Substituting these into the formula: $y = 2x + 0$. 4. Result: $y = 2x$.
Step 3: Final Answer:
The correct option is (a).