Find the slope of the line that passes through the following points (2,5) (5,11)

the slope is 2

Step-by-step explanation:

take y2 and y1 and subtract them, 11 - 5 = 6

then take x2 and x1 and subtract them, 5 - 2 = 3

then divide those 2 numbers, 6/3 and you get 2

Slope = y2-y1/x2-x1

Slope = 2

Step-by-step explanation:

First, identify your marked coordinates.

(2,5) and (5,11)

So, you would subtract 11-5 and 5-2 for the answer

6/3 which is equal to 2.

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