Find the zeros of the function by rewriting the function in intercept form
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Here we are given that the Alligator's tail length t varies directly as its body length b.
Using this given information and taking k as constant of proportionality, we get this equation :
.................(1)
Now we are given:
body length (b) = 4 feet
tail length (t) = 2.5 feet
plugging these values in equation (1) we have,
from here we can calculate the value of k, dividing both sides by 4
k=2.5/4 = 0.625.............(2)
Now we have to find tail length of alligator if body length is 3.2 feet.
so plugging b=3.2 and k=0.625 in equation (1)
t= 2
So tail length is 2 feet when body length of alligator is 3.2 feet.
m = , y - 7 =
( x - 12), y =
x - 3
(a) calculate the slope using the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 8) and (x₂, y₂) = (12, 7)
m = =
=
(b) the equation of a line in point-slope form is
y - b = m(x - a )
where m is the slope and (a, b) a point on the line
using m = and (a , b) = (12, 7 )
y - 7 = (x - 12)
(c) the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange (b ) into this form
y - 7 = - 10
y = x - 3