Aline has a slope of 9 the points are (0,10) and (-1,d) solve for d

slope = (y2-y1)/(x2-x1)

9 = (d-10)/(-1-0)

9 = (d-10)/-1

multiply by -1

-9 = d-10

add 10

1=d

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