Question

I don’t understand how too finddd thisss !! help meee

Answer 1

y =
`(1)/(2)` x +
`(1)/(2)`

Explanation:

the equation of a line in slope- intercept form is

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

calculate the slope m of the given line using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = A (- 2, 0 ) and (x₂, y₂ ) = B (4, 3 )

m =
`(3-0)/(4-(-2))` =
`(3)/(4+2)` =
`(3)/(6)` =
`(1)/(2)`

• Parallel lines have equal slopes , then

y =
`(1)/(2)` x + c ← is the partial equation

to find c substitute (- 5, - 2 ) into the partial equation

- 2 = -
`(5)/(2)` + c ⇒ c = - 2 +
`(5)/(2)` =
`(1)/(2)`

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