What is the equation of the line that is perpendicular to a line with a slope of 2, and intersects that line at (4,2)? y=−2x+10 y=−1/2x+4 y=−1/2x−4 y=2x−6

The equation would be y = -1/2x + 4

Step-by-step explanation:

In order to find the equation of the line, we first need to look at the slope. Perpendicular lines have opposite and reciprocal slopes. Since the original slope was 2, we know the perpendicular slope would be -1/2. Now we can use this and a point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 2 = -1/2(x - 4)

y - 2 = -1/2x + 2

y = -1/2x + 4