Final answer:
The equation of the line is y = 6x + 19.
Step-by-step explanation:
To find the equation of a line that is parallel to y = 6x - 13 and passes through the point (-2,7), we need to determine the slope of the given line and then substitute the point into the slope-intercept form of a line equation. Since parallel lines have the same slope, the new line will have a slope of 6. Using the point-slope form of a line, the equation of the line is: y - 7 = 6(x + 2) or you can simplify it to y = 6x + 19.