Question

HELP PLEASE!!!!!!!!!!!!!!!!!

Answer 1

y = 3x - 5

Explanation:

the equation of a line in slope- intercept form is

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

calculate the slope of line g using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 3, 6) and (x₂, y₂ ) = (0, 5) ← 2 points on the line

m =
`(5-6)/(0-(-3))` =
`(-1)/(0+3)` =
`(-1)/(3)` = -
`(1)/(3)` ← slope of line g

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

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(-(1)/(3) )` = 3 , then

y = 3x + c ← is the partial equation

to find c substitute (1, - 2 ) into the partial equation

- 2 = 3(1) + c = 3 + c ( subtract 3 from both sides )

- 5 = c

y = 3x - 5 ← equation of perpendicular line