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

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)

Where x and y are corresponding values:

When x = -1; y = 2;

This implies

When x = 0; y = -3

This implies

So:

The equation is then calculated using:

Where:

Make y the subject

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.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

true !

step-by-step explanation: