What fraction is equivalent to 5/6?
2 answers:
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Answer:
y = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, - 6) and (x₂, y₂ ) = (4, 3)
m = =
= 3
y = 3x + c ← is the partial equation
To find c substitute any of the 2 points into the partial equation
Using (4, 3), then
3 = 12 + c ⇒ c = 3 - 12 = - 9, hence
y- intercept c = - 9 ⇒ (0, - 9 )
<h2>Answer:</h2>
Since this is a logarithmic function, the domain is . But what is the domain of a function? The domain of a function is the set of inputs. This is so, because for any logarithmic function
, x must be greater than 0. So this function is continuous and has an x-intercept at
, and y increases as x increases. Finally, its graph is shown below.