Question

Which of the following is an equation of the line that passes through the point (5/3,-6) and has a slope of -3/4

Answer 1

Line through (a,b) with slope m is

y - b = m(x -a)

Here that's line through (a,b)=(5/3, -7) with slope m=-3/4

y - -7 = (-3/4) (x - 5/3)

Solve for y,

y + 28/4 = (-3/4) x + 5/4

y = (-3/4) x - 23/4

Look at the choices.

Answer: D