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First find the gradient

The perpendicular gradient would be the negative reciprocal of the given gradient

1/2 --> -2

The gradient would be -2

Now use y = mx+c to get the final equation

4 = (-2 x -3) + c

4 = 6 + c

c = -2

Thus the final equation is y = -2x - 2.

Option A is correct

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Step-by-step explanation:

suppose the line D of equation y = mx + p is perpendicular to the line

y = 1/2x + 3 and passes through the point (-3,4)

to get our line we need to find out the values of m and p.

since D is perpendicular to y = 1/2x + 3 and D is of slope m

then 1/2 × m = -1 then m = -2

now ,we move on to determine p:

D : y = -2x + p passes through (-3,4) means 4 = -2(-3) + p

Solving the equation for p:

4 = -2(-3) + p

then

4 = 6 + p

then

p = -2

finally:

D is of equation y = -2x - 2.

:)

step-by-step explanation:

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d