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
a) Find the equation of the straight line joining the points (2, 7) and (1, 1). Step 1: Calculate the slope (m) of the line using the formula m = (y_2 - y_1)/(x_2 - x_1). Given points (x_1, y_1) = (2, 7) and (x_2, y_2) = (1, 1). m = (1 - 7)/(1 - 2) m = (-6)/(-1) m = 6 Step 2: Use the point-slope form of the equation of a line, y - y_1 = m(x - x_1), with one of the points, for example (1, 1), and the calculated slope m=6. y - 1 = 6(x - 1) Step 3: Simplify the equation to the slope-intercept form y = mx + c. y - 1 = 6x - 6 y = 6x - 6 + 1 y = 6x - 5 The equation of the straight line is y = 6x - 5. b) Simplify (1)/(2)(A - (1)/(3)). Step 1: Distribute (1)/(2) to each term inside the parenthesis. (1)/(2) (A - (1)/(3)) = (1)/(2) · A - (1)/(2) · (1)/(3) Step 2: Perform the multiplication. = (A)/(2) - (1)/(6) The simplified expression is (A)/(2) - (1)/(6). Send me the next one 📸