Question

the graph shows the percentage of citizens of a certain country who trust in their government. complete parts a through c below.
a. use the two points whose coordinates are shown to find the point - slope form of the equation of the line that models the percentage of citizens trusting in government, y, x years after 2003.
(simplify your answer. type your answer in point - slope form. use integers or decimals for any numbers in the equation. round to two decimal places as needed.)

Explanation:

Step1: Calculate the slope

The two points are $(4, 24)$ and $(16, 14)$. The slope formula is $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{14-24}{16-4}=\frac{-10}{12}\approx-0.83$

Step2: Write point-slope form

Use point $(4,24)$ and $m=-0.83$. Point-slope form is $y-y_1=m(x-x_1)$.
$y-24=-0.83(x-4)$
(Alternatively, using point $(16,14)$: $y-14=-0.83(x-16)$ is also valid)

Answer:

$y-24=-0.83(x-4)$ (or $y-14=-0.83(x-16)$)