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

Answer:

$y = -5x - 3$

Step-by-step 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)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

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:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-3 - 2}{0 - (-1)}$

$m = \frac{-3 - 2}{0 +1}$

$m = \frac{-5}{1}$

$m = -5$

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.