Write an equation of the line that passed through (7,10) and is perpendicular to the line y=1/2x-9

The perpendicular line passing through the point (7,10) is

2 x+y-24=0

Step-by-step explanation:

Step :1

perpendicular condition :-

The condition of perpendicular lines are

The given line is and given point is (7,10)

the standard form of straight line is y=m x+c

The given line is y= \frac{1}{2}x-9

here m = \frac{1}{2}

now by using perpendicular condition solving the slope of perpendicular line is

straight line equation

Step 2 :-

The equation of the straight line having slope m=-2 and passing through the point (7,10) is

)

There fore the equation of perpendicular straight line is

y-10 = -2 (x-7)

Final answer

The equation of perpendicular straight line is

2 x+y-24=0

the answer is 0.071

good luck! : d