What is the slope of the line that passes through the points (-8, -6) and (2, -3)

3/10

Step-by-step explanation:

Slope = y2 - y1/x2 - x1

-3 + 6/2 +8

3/10

To find the slope of this line, I will show you the graphing method.

To find the slope of the line using the graphing method, we first set up a coordinate system like I have done for you below.

Next, we plot our two points.

Start by plotting (-8, -6) which we label point A and (2, -3) which

we label point B and we graph our line through the two points.

Next, remember that the slope or m is equal

to the rise/run from point A to point B.

To get from point A to point B, we rise 3 units and run 10 units.

So our slope or rise/run is 3/10.

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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