Question

the table of ordered pairs shows the coordinates of the two points on the graph of a function. which equation describes the function?please answer fast

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x y

- 2 2 point 1

4 - 1 point 2

Equation of the line = ?

Step 02:

Equation of the line

slope formula:

`m\text{ = }(y2-y1)/(x2-x1)=(-1-(2))/(4-(-2))=(-3)/(4+2)=(-3)/(6)=(-1)/(2)`

point-slope form of the line

(y - y1) = m (x - x1)

`\begin{gathered} (y\text{ - 2) = }(-1)/(2)(x-(-2)) \\ y\text{ = }(-1)/(2)x\text{ -}(2)/(2)+2 \\ y\text{ = }(-1)/(2)x-1+2 \end{gathered}`

y = -1 /2 x + 1

The answer is:

The equation of the line is y = -1 /2 x + 1