Makie - How to clear ax whenever slider value change?

Specific Domains Visualization
2

Using globals to make Makie’s plots interactive is not optimal. Instead you should look into how Observables work. See here for more infos: Observables & Interaction · Makie

Here is a reworked version of your example

using GLMakie

# Parameters
m = Observable(0.0)
c = Observable(0.0)
x = 0:0.01:10
y = Observable(Float64[])
f(x,m,c) = m*x+c


# Create a figure with an axis
fig = Figure(resolution = (800, 600))
ax = Axis(fig[1,1])

# Create a slider for m
m_slider = Slider(fig[2, 1], value = m[], range = 0.0:0.5:10.0)

# Create a slider for c
c_slider = Slider(fig[3, 1], value = c[], range = 0.0:1.0:10.0)

y = lift(m_slider.value, c_slider.value) do m, c
   # lift is similar to on (or onany), only that its return value will be wrapped into an Observable
   return f.(x,m,c)
end

on(y) do _
    # whenever y changes we update the axis limits
    reset_limits!(ax)
end

lines!(ax, x, y)

# Display the figure
display(fig)
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