Question

What is the equation from the function below?x. y0. 21. 72. 123. 174. 22

Answer 1

Each set corresponds to a point in the line. In order to get the equation of the line, we may use any of the two point then substitute it on this formula:

`y-y_1=(y_2-y_1)/(x_2-x_1)x-x_1`

where the subscripts 1 and 2 denotes the coordinates of points 1 and 2 respectively.

Let's take the first two sets

(0,2) and (1,7)

so x1 = 0, x2 = 1, y1= 2 and y2=7

`\begin{gathered} y-y_1=(y_2-y_1)/(x_2-x_1)x-x_1 \\ y-2_{}=\frac{7_{}-2_{}}{1_{}-0_{}}x-0_{} \\ y-2=(5)/(1)x-0 \\ y-2=5x \\ y=5x+2 \\ 5x-y+2=0 \end{gathered}`

Answer:

`5x-y+2=0`