Answer:
t(x) = 0.6x+0.4
Step-by-step explanation:
Fisrt, lets calculate the sloop. The sloop can be computed by dividing the differences in the second coordinate with those on the first coordinate.
[tex] a = \frac{-5-(-2)}{-9-(-4)} = \frac{-3}{-5} = 0.6 [/tex]
Since the curve in -4 takes the value 0, it should have the form
[tex] t(x) = a * (x- (-4) ) +b [/tex]
with a = 0.6 and b such that t(-4) = -2, thus
[tex] -2 = t(-4) = 0.6(-4-(-4)) + b = b [/tex]
As a consecuence,
[tex] t(x) = 0.6(x+4)+-2 = 0.6x+2.4-2 = 0.6x +0.4 [/tex]
