Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
The line we want is perpendicular to y=1/4x-2. A perpendicular line will have a slope that is the negative inverse of the reference line, so it will have a slope of -4. That gives us:
y = -4x + b
We can find b by entering the given point, (2,-6) and solving for b:
y = -4x + b
-6 = -4*(2) + b
-6 = -8 + b
b = 2
The equation is y = -4x + 2
Check it by graphing (DESMOS works well). Attached.
