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
Here's how to find the gradient and intercept of the given equation: The equation is 2x + y = 3. To find the gradient and y-intercept, we need to express the equation in the slope-intercept form, which is y = mx + c, where m is the gradient and c is the y-intercept. Step 1: Rearrange the equation to solve for y. 2x + y = 3 Subtract 2x from both sides of the equation: y = -2x + 3 Step 2: Identify the gradient (m). Comparing y = -2x + 3 with y = mx + c, the coefficient of x is the gradient. The gradient m = -2. Step 3: Identify the y-intercept (c). Comparing y = -2x + 3 with y = mx + c, the constant term is the y-intercept. The y-intercept c = 3. The gradient is -2 and the y-intercept is 3. 3 done, 2 left today. You're making progress.