Question

Write the equation for both pls

Answer 1

see explanation

Explanation:

the equation of a line in slope- intercept form is

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

y =
`(2)/(3)` x + 1 ← is in slope- intercept form

with slope m =
`(2)/(3)`

• Parallel lines have equal slopes

t =
`(2)/(3)` x + c ← is the partial equation

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

1 = 2 + c ⇒ c = 1 - 2 = - 1

y =
`(2)/(3)` x - 1 ← equation of parallel line

(2)

y = - x is in slope- intercept form

with slope m = - 1

y = - x + c ← is the partial equation

to find c substitute (- 3, 5 ) into the partial equation

5 = 3 + c ⇒ c = 5 - 3 = 2

y = - x + 2 ← equation of parallel line