What is the solution to the given equation?-54/w =6 AND For the function f, the graph of y=f(x) has a slope of 3
| What is the solution to the given equation? -54/w = 6 | For the function f, the graph of y=f(x) in the xy-plane has a slope of 3 and passes through the point (0, −8). Which equation defines f? A) f(x) = 3x B) f(x) = 3x − 8 C) f(x) = 3x + 5 D) f(x) = 3x + 11 |
| To solve for w, we must multiply both sides of the equation by w and simplify. -54 = 6w Next, divide both sides by 6 and simplify. -54/6 = w Solving this gives us -9 | Equations for straight / linear lines can be written as f(x) = mx + b We know m is a constant AND the gradient (given as 3) And that on an xy-plane, the line passes through (0,b) where b is the y intercept of the graph (given as -8) In short, m = 3 b = – 8 Adding this to f(x) = mx + b f(x) = 3x + (-8) Simplify to: f(x) = 3x – 8 |
| The correct answer is -9 | The correct answer is B |
