Respuesta :

Answer:

y = 1/2x + 2

Step-by-step explanation:

1) Find the slope of the perpendicular line (opposite reciprocal): -2 ⇒ 1/2

2) So the new slope is now: 1/2

3) Plug (8,2) into the equation with the new slope to find the intercept, b:              2= 1/2(8)+ b

4) Simplify:  2= 4 + b ⇒ b = 2

5) Plug the new slope and intercept into slope intercept form: y = 1/2x + 2                

Answer:

Step-by-step explanation:

eq. of given line is y=-2x+1

its slope=-2

slope of line perpendicular to it=1/2 (-1/m)

eq. of line through (8,2) with slope 1/2 is

y-2=1/2(x-8)

y-2=1/2 x-4

y=1/2x-4+2

or y=1/2 x-2

or y=1/2 x+(-2)