The points (6, -3) and (14, r) lle on a line with slope 1/2
Find the missing coordinate r.

r = 1

Step-by-step explanation:

(6, -3) ; (14, r)

Slope =

Cross multiply,

(r + 3)*2 = 1*8

2r + 6  = 8             {Subtract 6 from both sides }

       2r = 8 - 6

       2r = 2          {divide both sides by 2}

        r = 2/2

r = 1

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!

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