Indicate the equation of the given line in standard form, in the equation box below. The line through (-3,4) and perpendicular to a line that has a slope 2/5

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asked Apr 4, 2023 27.1k views

1 Answer

Jack Chen · Answer 1 · 2023-04-08T14:14:24+0000

Perpendicular lines have slopes that are negative reciprocals of each other, so the equation of the line in point-slope form is:

y-4=-(5)/(2)(x+3)

Rewriting this in standard form,

$2y-8=-5(x+3) \\ \\ 2y-8=-5x-15 \\ \\ \boxed{5x+2y=-7}$