The equation for line a is given by y=1/3x+4.suppose line a is parallel to line b and line t is perpendicular to line a. point (-3,1) lies on both line b and t
part a: write an equation for line b
part b: write an equation for line t

see explanation

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 + 4 ← is in slope- intercept form

with m =

(a)

Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of line B

To find c substitute (- 3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = x + 2 ← equation of line B

(b)

Given a line with slope m then the slope of a perpendicular line is

= - = - = - 3, thus

y = - 3x + c ← is the partial equation of line T

To find c substitute (- 3, 1) into the partial equation

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = - 3x - 8 ← equation of line T

1. minimum

2. 6400

3. eight

hope this !