Question

Write a system of linear inequalities represented by the graph.

Answer 1

Answer:

Inequality 1:  y ≤ 5x + 1           Inequality 2:  y > x -2

Explanation:

the first line is intersecting the y-axis at 1

coordinates = ( 0 , 1 ) , ( -1 , -4 )

slope of the first line = (y2-y1)/(x2-x1)

                                   = (-4-1 )/(-1-0)

                                   = -5/-1

                                   = 5

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                 → y ≤ 5x + 1   .........as equals to and greater than

the second line is intersecting the y axis at -2

coordinates = ( 2 , 0 ) , ( 0 , -2 )

slope of second line =  (y2-y1)/(x2-x1)

                                   = (-2-0)/(0-2)

                                   = 1

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                  → y > x -2 ..........as dotted represents not equals to.