Write the equation of the line that passes through the given point and is parallel to the given line. (5, -4); y = 1/5x - 4

parallel = same slope

y=1/5x-4

slope= 1/5x

solve using for b using y=mx+b

-4=(1/5)(5)+b

-4=4+b

(subtract -4 from both sides)

-8=b

put your equation together:

y=1/5x-8

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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