Question

Helppp lol

which system of linear equations is represented by the graph?​

Answer 1

y ≥ x - 2, and x + 2y < 4 ; Option C

Explanation:

Consider the y - intercept and slope of 1 of these given lines,

`y - intercept = ( 0, - 2 ) / - 2\\slope = 1 / 1 = 1`

From this we can formulate the equation of 1 line;

`Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = 1, b = - 2,\\Equation of Line 1 - y = x - 2`

Now consider the y - intercept and slope of the remaining line;

`y - intercept = ( 0, 2 ) / 2\\slope = 1 / - 2 = - ( 1 )/( 2 )`

This creates a line with the equation as such;

`Take Equation In the Form - y = ax + b, a - slope, and , b - y intercept,\\y = ax + b, a = - 1 / 2, b = 2,\\Equation of Line 1 - y = - ( 1 )/( 2 ) x + 2, x + 2y = 4`

From this we see that the solution of the system is such;

Solution ; y ≥ x - 2, and x + 2y < 4 ; Option C