Question

A line has a slope of -2/3 and passes through the point (-3, 8). What is the equation of the line? a. y = -2/3x + 6 b. y = -2/3x + 8 c. y = 6x - 2/3 d. y = 8x - 2/3

Answer 1

Explanation:

y=mx+c where m us the slope and c is the y intercept.

in this case m is given.

`8 = ( - 2)/(3) ( - 3) + c \\ 8 = (6)/(3) + c \\ 8 = 2 + c \\ c = 8 - 2 \\ c = 6`

I did all that to find the value of c by plugging in the slope magnitude and the given points.

now that means

`y = ( - 2)/(3) x + 6`