Write an equation of the line that passes through (7.10) and is perpendicular to the line y =

10 = -2(7) +24

Step-by-step explanation:

or

y = -2 (7) +24

first, we find the negative reciprocal of the slope of the first equation.

1/2 = -2/1 = -2

So the slope for the new equation will be -2

y = -2x+b

Now we know it will pass through the point (7,10)

So the x coordinate will become x, and the y coordinate will become y

10= -2(7) +b

-2 x 7 = -14 + b = 10

-14 -10 = -24

so

b = 24

because

-14 + 24 = 10

So our final equation(s) are

y = -2(7) +24

or

10 = -2 (7) + 24