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
Here are the steps to find the equation of the line passing through points P(4, 6) and S(-4, 0) and express it in the requested forms. Step 1: Calculate the slope (m) of the line. The formula for the slope is m = (y_2 - y_1)/(x_2 - x_1). Using P(4, 6) as (x_1, y_1) and S(-4, 0) as (x_2, y_2): m = (0 - 6)/(-4 - 4) = (-6)/(-8) = (3)/(4) Step 2: Find the equation of the line in the form y = mx + c. Using the slope m = (3)/(4) and point S(-4, 0): y - y_1 = m(x - x_1) y - 0 = (3)/(4)(x - (-4)) y = (3)/(4)(x + 4) y = (3)/(4)x + (3)/(4) × 4 y = (3)/(4)x + 3 This is the equation in the form y = mx + c. y = (3)/(4)x + 3 Step 3: Express the equation in the form $