Question

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)

Answer 1

Answer: y = 1/4x - 1

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

Answer 2

`\sf y =(1)/(4)x-1`

Explanation:

y = -4x + 3

Slope of the above line m₁ = -4

`\sf \text{ Slope of the perpendicular line = m = $(-1)/(m_1)$}`

`\sf m =(-1)/(-4)=(1)/(4)`

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

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

`\sf y = (1)/(4)x + b`

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

`\sf 1 = (1)/(4)*8 + b\\\\1 = 2 +b\\\\1-2 = b\\\\ b = -1`

`\sf y = (1)/(4)x - 1`