contestada

On a coordinate plane, 2 lines are shown. The first dashed straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 1) and (1, 1). Everything to the left of the line is shaded. Which equation represents an inequality in the system of inequalities shown in the graph? Which point is a solution to the system?

Respuesta :

Safshiann14

Answer:

y > 2x + (3/4)

(2.5)

Step-by-step explanation:

edge 2020

The equations that represents an inequality in the system of inequalities shown are;

y < 2x + 2

y ≥ 2x - 1

First line;

  • This line has coordinates of (-1, 0) and (0, 2).

The formula for slope between 2 coordinates of a line is;

m = (y₂ - y₁)/(x₂ - x₁)

Thus; m = (2 - 0)/(0 - (-1))

m = 2

  • The intercept of this line on the y-axis will be 2 because when x = 0, y = 2.

        From slope intercept form of an equation of a line which is; y = mx + c,  

        the equation of this line can be written as; y = 2x + 2

However, this is an inequality as we are told that the line is dashed and

everything to the right is shaded. This represents less than and so we have;

y < 2x + 2

Second Line;

  • This line has coordinates of (0, -1) and (1, 1).

The formula for slope between 2 coordinates of a line is;

m = (y₂ - y₁)/(x₂ - x₁)

Thus; m = (1 - (-1))/(1 - 0)

m = 2

  • The intercept of this line on the y-axis will be -1 because when x = 0, y = -1.

       From slope intercept form of an equation of a line which is; y = mx + c,      

       the equation of this line can be written as;

       y = 2x - 1

         However, this is an inequality as we are told that the line is dashed

and everything to the left is a solid line. This represents greater than or equal to sign than

and so we have;  y ≥ 2x - 1

Read more at; https://brainly.com/question/14270423

Otras preguntas