1. Solve for $x$ in the equation $2x + 5 = 15$. - Start by isolating $x$. - Subtract 5 from both sides: $2x + 5 - 5 = 15 - 5$ which simplifies to $2x = 10$. - Divide both sides by 2: $x = \frac{10}{2} = 5$. 2. Factor the quadratic expression $x^2 - 5x + 6$. - We look for two numbers that multiply to $6$ and add to $-5$. - These numbers are $-2$ and $-3$. - So, $x^2 - 5x + 6 = (x - 2)(x - 3)$. 3. Find the slope of the line passing through points $(1, 2)$ and $(3, 8)$. - The slope formula is $m = \frac{y_2 - y_1}{x_2 - x_1}$. - Substitute the points: $m = \frac{8 - 2}{3 - 1} = \frac{6}{2} = 3$. Final answers: - $x = 5$ - Factored form: $(x - 2)(x - 3)$ - Slope: $3$