Question

What is the equation of the line that passes through the point (-6,3) and has a slope of −4/3?

Answer 1

`y = - (4)/(3) x - 5`

Explanation:

The standard form for the equation of a line is

`y = mx + c`

We were told that

`y = 3 \: \: \: x = - 6 \: \: \: m = - (4)/(3)`

*Note m is the slope*

Therefore

`y = mx + c \\ 3 = - (4)/(3) (- 6) + c \\ 3= 8 + c \\ 3 - 8= c \\ - 5 = c`

So the answer is

`y = - (4)/(3) x - 5`