Question

Write the equation of the line passing through point 2, 5 and parallel to y=-1/2x-2​

Answer 1

2nd option

Explanation:

The equation of a line in slope- intercept form is

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

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

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

Parallel lines have equal slopes , then

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

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

5 = - 1 + c ⇒ c = 5 + 1 = 6

y = -
`(1)/(2)` x + 6 ← equation of line

Answer 2

option b

Explanation:

explaination is in picture