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