What is the perpendicular 4x-2y+5=0,(2,4) ?

The perpendicular 4x-2y+5=0,(2,4) is y=-1/2 x+5

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perpendicular 4x-2y+5=0,(2,4)

perpendicular

y = - \frac{1}{2} x + 5

Solution steps

Find the line

y = mx + b

perpendicular to

4 x - 2 y + 5 = 0

that passes through

(2, 4)

Find the slope of

4 x - 2 y + 5 = 0 : m = 2

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

(2, 4) : y = - \frac{1}{2} x + 5

y = - \frac{1}{2} x + 5

What is the perpendicular 4x-2y+5=0,(2,4) ?
The perpendicular 4x-2y+5=0,(2,4) is y=-1/2 x+5