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
Alright Joy — let's do this. Step 1: Calculate the gradient (m) of the line using the given points A(2,4) and B(5,13). The formula for the gradient is m = (y_2 - y_1)/(x_2 - x_1). m = (13 - 4)/(5 - 2) = (9)/(3) = 3 Step 2: Use the point-slope form of a linear equation, y - y_1 = m(x - x_1), or substitute one of the points and the gradient into y = mx + c to find the y-intercept (c). Using point A(2,4): 4 = 3(2) + c 4 = 6 + c c = 4 - 6 c = -2 Step 3: Write the equation of the line in the form y = mx + c. y = 3x - 2 The equation of the line is y = 3x - 2. Send me the next one 📸