1. **State the problem:** We need to find the slope $m$ and the y-intercept $c$ of the line $T$ given its graph points. 2. **Identify two points on the line:** From the graph, approximate two points on line $T$ as $(0, -4)$ and $(2, 5)$. 3. **Formula for slope:** The slope $m$ of a line passing through points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 4. **Calculate the slope:** Substitute the points: $$m = \frac{5 - (-4)}{2 - 0} = \frac{5 + 4}{2} = \frac{9}{2}$$ 5. **Find the y-intercept $c$:** The y-intercept is the value of $y$ when $x=0$. From the point $(0, -4)$, we see directly that $$c = -4$$ 6. **Write the equation of the line:** Using $y = mx + c$, substitute $m$ and $c$: $$y = \frac{9}{2}x - 4$$ **Final answer:** Slope $m = \frac{9}{2}$ Y-intercept $c = -4$