Question

Graph the function represented in the table on the coordinate plane.

PLEASE HELP!!



(x) -2, -1, 0, 1, 2

(Y) -3, -1, 1, 3, 5

Answer 1

I hope this helps you

Answer 2

`2x-y+1=0`

Explanation:

The given points are,

`(-2,-3),(-1,-1),(0,1),(1,3),(2,5)`

The difference in x coordinates is 1 and the difference in y coordinates is also 1. As change in both x and y are same and constant, so graph will be a straight line.

Plotting the points on the Cartesian coordinates, we get a straight line.

Applying two point formula, taking (-2,-3), (-1,-1), we get

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

`\Rightarrow (y+3)/(-1+3)=(x+2)/(-1+2)`

`\Rightarrow (y+3)/(2)=(x+2)/(1)`

`\Rightarrow y+3=2(x+2)`

`\Rightarrow y+3=2x+4`

`\Rightarrow 2x-y+1=0`