Answer:
The formula of this perpendicular line is y = -1/4x - 10
Step-by-step explanation:
y=ax+b
where:
a is the slope or gradient of the line.
b is the y-intercept of the line.
x is the independent variable of the function y = f(x).
Line y=4x-2 has a gradient of 4. You can write that as 4/1. It means that when x increases with 1, y will increase by 4. Starting from (0, -2) that means ( {0+1}, {-2+4} ) = (1, 2)
If two lines are perpendicular, then their gradients will multiply together to give -1
So apply this 4/1 * a = -1 so a = - 1/4
now see what we have so far, without doing any algebra yet.
y = -1/4x + b
given this line goes through point (4,-11).
lets find b by substituting x and y.
-11 = -1/4 * 4 + b
b = -11 + 4/4
b = -10
The formula of this perpendicular line is y = -1/4x - 10
