Linear Function 1Aa0E8

1. **State the problem:** We need to find the equation of a linear function in slope-intercept form, which is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 2. **Given:** Slope $m = 4$ and point $(-2, -4)$ lies on the line. 3. **Use the point-slope form:** The formula to find $b$ when you know $m$ and a point $(x_1, y_1)$ is: $$y_1 = m x_1 + b$$ 4. **Substitute the known values:** $$-4 = 4 \times (-2) + b$$ 5. **Calculate:** $$-4 = -8 + b$$ 6. **Solve for $b$:** $$b = -4 - (-8)$$ $$b = -4 + 8$$ $$b = 4$$ 7. **Write the final equation:** $$y = 4x + 4$$ **Answer:** The linear function in slope-intercept form is $$y = 4x + 4$$.