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
Let's determine the equation of the line passing through the points A(6, 4) and B(2, 0). Step 1: Calculate the slope (m) of the line. The formula for the slope is m = (y_2 - y_1)/(x_2 - x_1). Let (x_1, y_1) = (6, 4) and (x_2, y_2) = (2, 0). m = (0 - 4)/(2 - 6) m = (-4)/(-4) m = 1 Step 2: Use the slope-intercept form of a linear equation, y = mx + c. Substitute the calculated slope m=1 into the equation: y = 1x + c y = x + c Step 3: Substitute one of the given points into the equation to find the y-intercept (c). Let's use point B(2, 0): 0 = 2 + c c = 0 - 2 c = -2 Step 4: Write the final equation of the line using the slope and y-intercept. y = x - 2 The equation of the line is y = x - 2. Send me the next one 📸