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
Step 1: Calculate the slope m using the given points (x_1, y_1) = (8, 4) and (x_2, y_2) = (-12, -3). m = (y_2 - y_1)/(x_2 - x_1) m = (-3 - 4)/(-12 - 8) m = (-7)/(-20) m = (7)/(20) Step 2: Use the point-slope form of a linear equation, y - y_1 = m(x - x_1), with one of the points (e.g., (8, 4)) and the calculated slope m = (7)/(20). y - 4 = (7)/(20)(x - 8) Step 3: Convert the equation to the standard form Ax + By + C = 0. Multiply both sides by 20 to eliminate the fraction: 20(y - 4) = 7(x - 8) 20y - 80 = 7x - 56 Rearrange the terms to one side: 0 = 7x - 20y - 56 + 80 7x - 20y + 24 = 0 The equation of the line is 7x - 20y + 24 = 0. Send me the next one 📸