Question: What is the equation of line N?
Give your answer in the form $y = mx + c$
Graph: line N is a straight orange line rising from bottom-left to top-right, crossing the y-axis at 20 and passing through about $(1, 35)$; position_hint = center.
solve this
1. **State the problem:** Find the equation of line N in the form $y = mx + c$ given it crosses the y-axis at $20$ and passes through the point $(1, 35)$.
2. **Recall the formula:** The equation of a line is $y = mx + c$ where $m$ is the slope and $c$ is the y-intercept.
3. **Identify known values:** The y-intercept $c = 20$ (since the line crosses the y-axis at 20).
4. **Calculate the slope $m$:**
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{35 - 20}{1 - 0} = \frac{15}{1} = 15$$
5. **Write the equation:** Substitute $m = 15$ and $c = 20$ into $y = mx + c$:
$$y = 15x + 20$$
6. **Final answer:** The equation of line N is $y = 15x + 20$.