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: Write down the formula for the slope of a line. The slope s of a line passing through two points (x_1, y_1) and (x_2, y_2) is given by: s = (y_2 - y_1)/(x_2 - x_1) Step 2: Substitute the given values into the formula. Given points are (m, -5) and (1, 5). So, x_1 = m, y_1 = -5, x_2 = 1, y_2 = 5. The given slope is s = (1)/(2). (1)/(2) = (5 - (-5))/(1 - m) Step 3: Simplify the numerator. (1)/(2) = (5 + 5)/(1 - m) (1)/(2) = (10)/(1 - m) Step 4: Cross-multiply to solve for m. 1 × (1 - m) = 2 × 10 1 - m = 20 Step 5: Isolate m. -m = 20 - 1 -m = 19 m = -19 The value of m is -19. Step 1: Multiply the numerators and the denominators. (2)/(5) × (18)/(4) = (2 × 18)/(5 × 4) = (36)/(20) Step 2: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor. The greatest common divisor of 36 and 20 is 4. (36 ÷ 4)/(20 ÷ 4) = (9)/(5) The simplified expression is (9)/(5). Send me the next one 📸