Question

Identify the function shown in this graph.

-5 -4 -3 -2 -1
2 3 4 5
O A. y = -5x - 3
B. y = 5x - 3
O C. y = -3x + 3
D. Y = -5x + 3

Answer 1

`y = -5x - 3`

Explanation:

The data in the question are not properly presented.

See attachment for graph

To determine the graph, first we need to calculate the slope (m)

`m = (y_2 - y_1)/(x_2 - x_1)`

Where x and y are corresponding values:

When x = -1; y = 2;

This implies
`(x_1,y_1) = (-1,2)`

When x = 0; y = -3

This implies
`(x_2,y_2) = (0,-3)`

So:

`m = (y_2 - y_1)/(x_2 - x_1)`

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

`m = (-3 - 2)/(0 +1)`

`m = (-5)/(1)`

`m = -5`

The equation is then calculated using:

`y - y_1 = m(x-x_1)`

Where:

`m = -5`

`(x_1,y_1) = (-1,2)`

`y - 2 = -5(x -(-1))`

`y - 2 = -5(x +1)`

`y - 2 = -5x -5`

Make y the subject

`y = -5x - 5 +2`

`y = -5x - 3`

Please note that the graph I attached may/may not be the right graph to your question.

However, if you follow the steps I used in answering this question, you'll get the right answer to your question.