What is the slope of the line of (4,6) and (-16,-18)

Hi!

To solve this, we simply use the equation shown in the image below:

What this means is the change in y over the change in x.

We use the two points and plug them in the equation like so:

Therefore your answer is .

Hope this helps! Have a fantastic day! :D

Let me know if you need any other help.

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

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