the graph shows the percentage of citizens of a certain country who trust in their government. complete…

the graph shows the percentage of citizens of a certain country who trust in their government. complete parts a through c below.\na. 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.\n(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.)

the graph shows the percentage of citizens of a certain country who trust in their government. complete parts a through c below.\na. 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.\n(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.)

Answer

Explanation:

Step1: Identify the two - point coordinates

The two points are $(4,30)$ and $(16,19)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1 = 4,y_1 = 30,x_2=16,y_2 = 19$ into the formula: $m=\frac{19 - 30}{16 - 4}=\frac{- 11}{12}\approx - 0.92$.

Step3: Use the point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$. Using the point $(4,30)$ and $m\approx - 0.92$, we get $y - 30=-0.92(x - 4)$.

Answer:

$y - 30=-0.92(x - 4)$