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 = $\frac{2}{3}$x - $\frac{5}{3}$

Sub x = 4,

y = $\frac{2}{3}$(4) - $\frac{5}{3}$
   = 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 = $\frac{2}{3} x - \frac{11}{3}$
   = $\frac{2}{3}(4) - \frac{11}{3}$
   = -1

D is definitely the answer! Hope this helped!