First thing we need to do is find the slope. since this equation is already in slope intercept form, which is y = mx + b, the slope is already shown. It is 1/2
The slope of the line perpendicular to the given line is the negative inverse of the slope. The negative inverse of 1/2 is -2.
Next, use the slope we determined was the negative inverse ( -2 ) and the given point ( 1,3 ) to write the equation of the line in point slope form. The formula is y − y1 = m(x − x1).
With all the correct numbers plugged in, The equation is:
y - 3 = -2 ( x - 1 )