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 Lamosa — been a while! Let's pick up where you left off. Step 1: Determine the slope of the line. The slope m of a line is given by the tangent of the angle it makes with the positive x-axis. Given angle = 45^. m = () m = (45^) m = 1 Step 2: Identify the y-intercept. The problem states that the line cuts 5 units on the positive part of the Y-axis. This means the y-intercept c is 5. c = 5 Step 3: Write the equation of the straight line. Using the slope-intercept form of a linear equation, y = mx + c, substitute the values of m and c. y = (1)x + 5 y = x + 5 The equation of the straight line is y = x + 5. Send me the next one 📸