Question

Which point-slope form equation represents a line that passes through (3,-2) with a slope of -4/5

Answer 1

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

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 = -
`(4)/(5)` and (a, b) = (3, - 2), hence

y - (- 2) = -
`(4)/(5)`(x - 3), that is

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