Question

Which is an equation of the line with a slope of 2/3 passing through the point (4,-1)

Answer 1

The slope would always be the coefficient of x, so in this case, we can already rule out A and B. C and D are left now.

Since the line passes through the point (4,-1), let's sub in x = 4 (since the x value is 4), and if we get y = -1, the answer can be determined.

Option C:

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

Sub x = 4,

y =
`(2)/(3)`(4) -
`(5)/(3)`
= 1

The answer was NOT y = -1, so we can rule out C.

That leaves us with the only option D, and just to check in case:

y =
`(2)/(3) x - (11)/(3)`
=
`(2)/(3)(4) - (11)/(3)`
= -1

D is definitely the answer! Hope this helped!