Question

A line passes through (-6,-5) and has the slope of 2/3

HELPPPP PLEASE!!

Answer 1

`y = (2)/(3)x - 1`

Explanation:

`y = mx + c \\ \\ m = slope \\ c = y \: \: intercrept`

`m = (2)/(3)`

`y = mx + c \\ - 5 = (2)/(3) * - 6 + c \\ - 5 = ( - 12)/(3) + c \\ - 5 = - 4 + c \\ - 5 + 4 = c \\ - 1 = c`

So, the equation of the line is,

`y = mx + c \\ y = (2)/(3)x - 1`

Answer 2

y = 2/3x-1

Explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = 2/3x +b

Using the point (-6,-5)

-5 = 2/3(-6)+b

-5 = -4 +b

Add 4 to each side

-5+4 = b

-1 =b

y = 2/3x-1