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The equation of line j is y+5=8(x+4). Perpendicular to line j is line k, which passes through the point (4, – 1). What is the equation of line k?

Sagot :

8x+y=31

perpendicular means the slopes are opposite reciprocals of each other.  perpendicular to: y +5= 8(x +4)   →   m = 8   m⊥ = -8

Input the slope (m⊥ = -8) and the point (x₁, y₁) = (4, -1) into the Point-Slope formula: y - y₁ = m(x - x₁)

y - (-1) = -8(x -4)

y + 1 = -8 x + 32      simplified

8x+y =31      

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