Question

Please help within 30ish minutes I’m be g g in g you

Answer 1

x - 2y = - 3

Explanation:

The equation of a line in slope- intercept form is

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

Given 2x + y = 3 ( subtract 2x from both sides )

y = - 2x + 3 ← 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)` =
`(1)/(2)` , thus

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

To find c substitute (5, 4) into the partial equation

4 =
`(5)/(2)` + c ⇒ c =
`(3)/(2)`

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

Multiply through by 2

2y = x + 3 ( subtract 2y from both sides )

0 = x - 2y + 3 ( subtract 3 from both sides )

- 3 = x - 2y , that is

x - 2y = - 3 ← in standard form