Write the equation of the line parallel to the line y=1x+0 that passes through the point (-6,-4)

y = x + 2

Step-by-step explanation:

Parallel lines have the same slope. If the line y = x is parallel to it then the slope for both lines is 1.

To write the equation, substitute m = 1 into the point slope form with (-6,-4).

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

a) 0,0; 1,1; and 2,2

step-by-step explanation:

these have the exact same coordinates, thus they are the correct function.