Find the slope of the line through each pair of points.
6. *
(4, 10), (0, 3)

Slope: 1.75

Step-by-step explanation:

Slope = (3-10) / (0-4)

         = -7 / -4

         = 1.75

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

it would open into a square depending on the type of envelope i’m not sure about the second part