Given:
Line a is parallel to line b.
Line a passes through the points (1,7) and (2,-4).
Line b passes through the point (6,14).
The objective is to find the equation of the line b in slope intercept form.
For parallel lines the slope of the two lines will be equal.
Consider the coordinates of the line a as,
The slope of line a can be calculated as,
Since both are given as parallel lines, the slop of line b will be,
If the line b passes throught the point (6,14), the equation can be represented as,
Hence, the equation of line b is y = -11x+80.