Question

Please help me out with this geometry math assignment I been struggling so hard and I need help can you help me out and it is due today by 1:00pm so please help me I really need to get it done and I be stress and nothing work out only question 13c is hard for me so help me

Answer 1

see explanation

Explanation:

13 (a)

Given

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

2y = - x + 3 ( divide all terms by 2 )

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

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

(b)

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

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

(c)

The partial equation of the perpendicular line is

y = 2x + b

To find b substitute (1, 4) into the partial equation

4 = 2 + b ⇒ b = 4 - 2 = 2

y = 2x + 2 ← equation of perpendicular line