1. Given the problem: Identify the type of graphs represented by the equations: a) $2x + y = 8$ b) $y = x^n + 3x + 2$ where $n = 2$ 2. For equation a) $2x + y = 8$: - Rewrite it in slope-intercept form $y = mx + b$ by isolating $y$: $$y = 8 - 2x$$ - This is a linear equation in $x$ and $y$. - The graph of a linear equation is a straight line. 3. For equation b) $y = x^n + 3x + 2$ with $n=2$: - Substitute $n=2$: $$y = x^2 + 3x + 2$$ - This is a quadratic function since the highest power of $x$ is 2. - The graph of a quadratic function is a parabola. Final answer: a) The graph is a straight line. b) The graph is a parabola.