What is the horizontal asymptote of the graph of f(x) = 4×5^x
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y = - x - 34
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 68, 0 ) and (x₂, y₂ ) = (0, - 34 )
m = =
= -
the y-intercept = (0, - 34 ) ⇒ c = - 34
y= - x - 34