The function will be given f(x) = -4 ( x -0.5)
What is the equation of a line passing through two points?
Graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Suppose the given points are (x₁, y₁) and (x₂, y₂), then the equation of the straight line joining both two points is given by
[tex]\rm (y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
We can see that the line is passing through the points ( 0.5,0) and ( 0,-2). so we will find the function by using the equation of the line passing through two points.
Write an equation for the trend line.
(x₁, y₁) → (0.5,0)
(x₂, y₂) → (0, -2)
Then we have
y - 0 = ( -2 - 0)/( 0 - 0.5)(x - 0.5)
y - 0 = ( -2/-0.5) ( x - 0.5)
y = -4 ( x -0.5)
Learn more about straight-line equations here:
https://brainly.com/question/380976
#SPJ1
