1. The problem asks to find the values of $m$ (slope) and $c$ (y-intercept) for the line $T$ given by the equation $y = mx + c$. 2. The slope $m$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. From the graph, the line passes through points $(0, -4)$ and $(1, 1)$. 4. Calculate the slope: $$m = \frac{1 - (-4)}{1 - 0} = \frac{1 + 4}{1} = \frac{5}{1} = 5$$ 5. The y-intercept $c$ is the value of $y$ when $x=0$. From the point $(0, -4)$, we see: $$c = -4$$ 6. Therefore, the equation of the line $T$ is: $$y = 5x - 4$$