The slope of a line through (0,0) and (2,4) is:

**The reasoning** The slope of a line tells you how steep it is — specifically, how much the line rises (goes up or down) for every unit it runs (goes left or right). The formula is: **slope = (change in y) / (change in x) = (y₂ − y₁) / (x₂ − x₁)** From (0,0) to (2,4): - Change in y = 4 − 0 = 4 - Change in x = 2 − 0 = 2 So slope = 4/2 = **2** This means for every 1 unit you move right, the line goes up by 2 units. **Why the wrong options tempt you** - **Option A (1):** You might think "the points look balanced" or confuse slope with some other property. - **Option C (0.5):** This is the flip! You divided 2/4 instead of 4/2. Remember: rise comes first (vertical change), then run (horizontal change). - **Option D (4):** You only looked at the y-value and ignored the x-value completely. **Quick takeaway** Slope is always **"rise over run"** — vertical change divided by horizontal change. Don't flip it!