Question

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)

Answer 1

D

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 =
`(5)/(7)` and (a, b) = (3, - 4), thus

y - (- 4) =
`(5)/(7)`(x - 3), that is

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