Question

What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that apply.

y = −x − 1
2x + 5y = −5
y = −x − 3
2x + 5y = −15
y − 1= −(x + 5)
A B and E i took the test

Answer 1

A

Explanation:

Answer 2

For this case we have that if two lines are parallel, then their slopes are equal.

`m_ {1} = m_ {2}`

We have the line given by:

`2x + 5y = 10`

Rewriting:
`y = \frac {10-2x} {5}\\y = - \frac {2} {5} x + 2`

So, the slope is given by:

`- \frac {2} {5}`

So, we have the following equation:

`y = - \frac {2} {5} x + b`

We substitute the given point to find the cut point:

`1 = - \frac {2} {5} (- 5) + b\\1 = 2 + b\\b = -1`

So, we have:

`y = - \frac {2} {5} x-1`

Rewriting:

`y + 1 = - \frac {2} {5} x\\5y + 5 = -2x\\2x + 5y = -5`

Answer:

Option B