Find the slope of the line that is parallel and perpendicular to the given line. y = 1/3x + 5

m ll =
⊥ =

|| slope= 1/3

⊥ slope=-3

Step-by-step explanation:

The line is y=1/3x+5

Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)

That means that the || slope will be 1/3.

Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)

Which means to solve for the slope perpendicular, use this equation

1/3m=-1

multiply by 3 on both sides

m=-3

So that means the ⊥ slope will be -3.

hope this helps!

and - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x + 5 ← is in slope- intercept form

with slope m =

Parallel lines have equal slopes, thus

=

Give a line with slope m then the slope of a line perpendicular to it is

= - = - = - 3

the correct answer is 5

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