Find the slope of the line that passes through (9, 4) and (4, 12).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer as a proper fraction is 8/-5;

As an improper fraction is - 1 3/5;

As an integer, we will approximate the slope value from -1.6 to -2

Step-by-step explanation:

Given the points (9,4) and (4,12), find the slope:

Slope= change in y/ change in x.

y2 - y1/x2 - x1

Step 1: Locate the coordinates points:

x1= 9, x2= 4

y1=4, y2= 12

Step 2:Insert the values into the formula Slope =12-4/4-9

=8/-5

Answer as a proper fraction is 8/-5

As an improper fraction is - 1 3/5

As an integer, we will approximate the slope value from -1.6 to -2.

I hope this helps .

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