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Write an equation in slope intercept form for the line that is perpendicular to

y= -1/4 X +2 and passes through the points (-4, 3

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Linear equation given as traverse
You need to find
- Coefficient of a straight line perpendicular
- Coefficient of b straight line perpedicular

Coefficient a

We are looking for the inverse of the number of opposite sign
a
₁ = - 1/4 ⇔ a₂ = 4
substantiation
a₁ *a₂ = -1
- 1/4 * a₂ = -1
a₂ = -1 * (- 4)

to the model equations we put all the known values
a
₂ = 4 P=(-4,3)
x,y
y = ax + b
3 = 4*(-4) + b

we can calculate b , because it is the only unknown

3 = -16 + b
b = 3 + 16 = 19

simple perpendicular
y = 4x + 19
User Ketan Ghumatkar
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