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.
