Which equation represents the line that contains the point (3, -4) and has a slope of 5/7?
y - 4 = 5/7(x + 3)
y - 3 = 5/7(x + 4)
y + 3 = 5/7(x - 4)
y + 4 = 5/7(x - 3)

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = and (a, b) = (3, - 4), thus

y - (- 4) = (x - 3), that is

y + 4 = (x - 3)

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.