1. **State the problem:** We are given points on a graph with coordinates $(x, y)$ as $(−2, 2)$, $(0, −2)$, $(2, −6)$, and $(4, −10)$. We need to find the y-intercept and the slope of the function's graph. 2. **Recall the definitions:** - The **y-intercept** is the value of $y$ when $x=0$. - The **slope** $m$ of a linear function is calculated by the formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ where $(x_1, y_1)$ and $(x_2, y_2)$ are any two points on the line. 3. **Find the y-intercept:** From the given points, when $x=0$, $y = -2$. So, the y-intercept is $-2$. 4. **Calculate the slope:** Choose two points, for example $(0, -2)$ and $(2, -6)$. Calculate: $$m = \frac{-6 - (-2)}{2 - 0} = \frac{-6 + 2}{2} = \frac{-4}{2} = -2$$ 5. **Interpretation:** The slope $-2$ means that for every increase of 1 in $x$, $y$ decreases by 2. **Final answer:** - y-intercept: $-2$ - slope: $-2$