This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Morning Bright — let's get this done. Step 1: Calculate the slope of the line using the two given points (4, 2) and (-8, -2). The formula for the slope m is m = (y_2 - y_1)/(x_2 - x_1). m = (-2 - 2)/(-8 - 4) m = (-4)/(-12) m = (1)/(3) Step 2: Rewrite the given equation of the line 3y = px + q into the slope-intercept form y = mx + c. Divide the entire equation by 3: y = (p)/(3)x + (q)/(3) From this form, the slope of the line is m = (p)/(3). Step 3: Equate the slope calculated from the points to the slope from the equation and solve for p. (p)/(3) = (1)/(3) Multiply both sides by 3: p = 1 The value of p is 1. This corresponds to option (a). The final answer is 1. Send me the next one 📸