11) give the slope-intercept form of the equation of the line that is perpendicular to 5x + 2y = 12 and contains the point (2, 3).

12) tell whether the lines are parallel, perpendicular, or neither.
the line through (-3, 2) and (4, 6) and the line through (-5, 7) and (-9, 14)

13) which two lines are parallel?
3x + y = -2
2y – 6x = 4
2y = -6x – 8

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is