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Passing through (-2, 8) and PERPENDICULAR to y = 2x + 5

Sagot :

the equation of the line is,

y = 2x + 5

the slope of the line is m = 2

the slope of the line perpendicular to y = 2x + 5 is ,

m = -1/2

it is passing through (-2,8)

so the equation of the line is

[tex]y-8=(-\frac{1}{2})(x-(-2))[/tex][tex]\begin{gathered} y-8=-\frac{1}{2}x-1 \\ y=-\frac{1}{2}x+7 \end{gathered}[/tex]

thus the equation of the line is,

y = -1/2 x + 7