Question

Someone please help me , its urgent

Answer 1

x + 2y = 2

Explanation:

the equation of a line in slope- intercept form is

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

given the line with equation

2x - y = 5 ( subtract 2x from both sides )

- y = - 2x + 5 ( multiply through by - 1 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(2)` , then

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

to find c substitute (- 8, 5 ) into the partial equation

5 = -
`(1)/(2)` (- 8) + c = 4 + c ( subtract 4 from both sides )

1 = c

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

multiply through by 2 to clear the fraction

2y = - x + 2 ( add x to both sides )

x + 2y = 2 ← equation of perpendicular line in standard form