The slope-intercept form of a line is:

Where m is the slope of the line and b is the y-intercept.
If two lines are perpendicular, their slopes are the inverse multiplied by (-1)
If a line has a slope of m, then the slope of a line perpendicular to it is:

We know that the slope of the perpendicular line is 1/2, then the slope of the line we are calculating is:

Now, we can use the point-slope form of a line. Given a point P and a slope m, the equation of the line with slope m that passes through the point P is:

In this case, the slope is m = -2 and passes through the point P = (2, 7)
We write:

If we simplify this expression we get the equation of the line in slope-intercept form:

Thus, the answer is:
