Write the equation of the line with the following chracteristics perpendicular to y=1/2x+3 through (9,1)

If the line is perpendicular to y = 1/2x + 3, the slope will be the opposite sign of the reciprocal.
1/2 → opposite sign is (-) reciprocal is (2) → slope of ⊥ = -2

Now let's find the b → by substituting the values for y, m, and x in y = mx + b
1 = -2(9) + b
1 = -18 + b
19 = b

The equation is y = -2x + 19
or 2x + y = 19