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
Welcome back Joseph — been a while! Let's pick up where you left off. Step 1: Identify the given points from the mapping. We have the following pairs of (x, y) values: (0, 5), (2, 3), (4, 1), (6, -1), (8, -3). Step 2: Calculate the slope (m) of the linear relationship. The slope is given by the formula m = (y_2 - y_1)/(x_2 - x_1). Using the first two points (0, 5) and (2, 3): m = (3 - 5)/(2 - 0) = (-2)/(2) = -1 Step 3: Determine the y-intercept (c). The y-intercept is the value of y when x = 0. From the table, when x = 0, y = 5. So, the y-intercept c = 5. Step 4: Write the rule of the mapping in the form y = mx + c. Substitute the calculated slope m = -1 and y-intercept c = 5 into the equation: y = -1x + 5 y = -x + 5 The rule of the mapping is y = -x + 5. Send me the next one 📸