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Sagot :
y = 1/4 x - 3
First. find the slope of the above equation
To do that, we will compare the above equation with y = mx + b
where m is the slope and b is the intercept
m = 1/4
Now, note that;
slope of perpendicular equations are inverse of each other
That is;
m₁m₂ = -1
substitute m₁= 1/4 and then solve for m₂
1/4 m₂ = -1
multiply both-side of the equation by 4
m₂ = -4
The slope of our new equation is -4
We will now go ahead to find the intercept b of the new equation
To do that, substitute x = 4 y=1 and m=-4 into y =mx + b and then solve for b
1 = -4(4) + b
1 = -16 + b
add 16 to both-side of the equation
1 + 16 = b
17 = b
b = 17
To form the new equation, simply substitute m = -4 and b = 17 into y=mx+b
The equation is:
y = -4x + 17
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