Question

Find the equation of a Line , in slope-intercept form of a line that passes throught the point (-5,-1)and is parallel to the line

- 2x +4y =8
(In the picture : The options of answers)​

Answer 1

A

Explanation:

The equation of a line in slope- intercept form is

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

Rearrange - 2x + 4y = 8 into this form by adding 2x to both sides

4y = 2x + 8 ( divide all terms by 4 )

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

with slope m =
`(1)/(2)`

Parallel lines have equal slopes, thus

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

To find c substitute (- 5, - 1) into the partial equation

- 1 = -
`(5)/(2)` + c ⇒ c = - 1 +
`(5)/(2)` =
`(3)/(2)`

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

Answer 2

Answer: y=x/2 + 3/2

Explanation: