Subjects algebra

Linear Equation B987B8

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** Find the equation of the linear function passing through points (0, 3) and (1, 0). 2. **Recall the formula:** The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Calculate the slope $m$:** $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 3}{1 - 0} = \frac{-3}{1} = -3$$ 4. **Find the y-intercept $b$:** Since the line passes through (0, 3), the y-intercept is $b = 3$. 5. **Write the equation:** $$y = -3x + 3$$ This is the equation of the linear function.