Victoriaballou07idn
Answered

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EXTRA POINTS AND BRAINILIEST AND SHOW YOUR WORK PLEASE!!
Find the equation of the line perpendicular to y=-4x+3 that also intersects the point (8,1)

EXTRA POINTS AND BRAINILIEST AND SHOW YOUR WORK PLEASE Find The Equation Of The Line Perpendicular To Y4x3 That Also Intersects The Point 81 class=

Sagot :

Answer: y = 1/4x - 1

Step-by-step explanation: Sorry, I don't remember the steps I did to solve it.

Devishri1977idn

Answer:

[tex]\sf y =\dfrac{1}{4}x-1[/tex]

Step-by-step explanation:

y = -4x + 3

Slope of the above line m₁ = -4

[tex]\sf \text{ Slope of the perpendicular line = m = $\dfrac{-1}{m_1}$}[/tex]

                                   [tex]\sf m =\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

Equation of the line in slope y-intercept form:  y =mx + b

m is the slope and b is the y-intercept.

        [tex]\sf y = \dfrac{1}{4}x + b[/tex]

Line contains the point (8 , 1). Substitute in the above equation.

       [tex]\sf 1 = \dfrac{1}{4}*8 + b\\\\1 = 2 +b\\\\1-2 = b\\\\ b = -1[/tex]

 [tex]\sf y = \dfrac{1}{4}x - 1[/tex]

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