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.
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Welcome back ngwaemeldaayeng — missed you this week. Here are the solutions for questions 6 and 7. Question 6: Write the equation of the function with slope 2 passing through the point (2,5). Step 1: Use the point-slope form of a linear equation, y - y_1 = m(x - x_1). Given slope m = 2 and point (x_1, y_1) = (2, 5). Step 2: Substitute the given values into the point-slope form. y - 5 = 2(x - 2) Step 3: Distribute the slope and solve for y to get the equation in slope-intercept form, y = mx + b. y - 5 = 2x - 4 y = 2x - 4 + 5 y = 2x + 1 The equation of the function is y = 2x + 1. Question 7: Determine the x-intercept and y-intercept of the function f(x) = -x + 6. Step 1: To find the x-intercept, set f(x) = 0 and solve for x. 0 = -x + 6 x = 6 The x-intercept is (6, 0). Step 2: To find the y-intercept, set x = 0 and solve for f(x). f(0) = -(0) + 6 f(0) = 6 The y-intercept is (0, 6). Send me the next one 📸