Line Equation 39D013
1. The problem asks to find the equation of a line in the form $y = mx + c$ given two points on the line.
2. The general form is $y = mx + c$, where $m$ is the slope and $c$ is the y-intercept.
3. From the graph, the line crosses the y-axis at $(0, -4)$, so $c = -4$.
4. The line passes through the points $(0, -4)$ and approximately $(1, 4)$.
5. Calculate the slope $m$ using the formula:
$$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-4)}{1 - 0} = \frac{8}{1} = 8$$
6. Substitute $m = 8$ and $c = -4$ into the equation:
$$y = 8x - 4$$
7. Therefore, the equation of the line is $y = 8x - 4$.