What is the perpendicular 2x+y=6,(4,3) ?

The perpendicular 2x+y=6,(4,3) is y= 1/2 x+1

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perpendicular 2x+y=6,(4,3)

perpendicular

2 x + y = 6, (4, 3)

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

Solution steps

Find the line

y = mx + b

perpendicular to

2 x + y = 6

that passes through

(4, 3)

Find the slope of

2 x + y = 6 : 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

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

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

What is the perpendicular 2x+y=6,(4,3) ?
The perpendicular 2x+y=6,(4,3) is y= 1/2 x+1