Question

This table represents a function plot points to represent the function as a graph. X -4 y 9

Answer 1

The graph in the attached figure

Explanation:

we have the ordered pairs

(-4,9),(-1,3),(0,1),(2,-3)

Using a graphing tool

Plot the given ordered pairs in the coordinate plane

Remember that

In a ordered pair (x,y), the first coordinate is the location of the point in the x-axis and the second coordinate is the location of the point in the y-axis

see the attached figure

The graph represent a line

Find the equation of the line

Find the slope

take two points

`(0,1),(2,-3)\\m=(-3-1)/(2-0)=-2`

The equation of the line in slope intercept form is equal to

`y=mx+b`

we have

`m=-2\\b=1`

substitute

`y=-2x+1`