Final answer:
To find the equation of a line parallel to y = 5x + 12 and passing through the point (-2,-4), use the point-slope form of a linear equation.
Step-by-step explanation:
To find the equation of a line parallel to y = 5x + 12 and passing through the point (-2,-4), we need to use the fact that parallel lines have the same slope. Since the given line has a slope of 5, the parallel line will also have a slope of 5. Now we can use the point-slope form of a linear equation to find the equation of the line.
The equation of the line passing through (-2,-4) with a slope of 5 is y - (-4) = 5(x - (-2)). Simplifying the equation, we get y + 4 = 5x + 10. Finally, we can rewrite the equation in slope-intercept form, y = mx + b, to get y = 5x + 6. So, the equation of the line is y = 5x + 6.