Question

Which equation represents a line that passes through (2,-1/2) and has a slope of 3?

O y-2 = 3(x +1/2)
O y-3 = 2(x + 1/2)
O y+ 1/2= 3(x - 2)
O y+ 1/2= 2(x - 3)

Answer 1

option 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 = 3 and (a, b) = (2, -
`(1)/(2)` ) , thus

y - (-
`(1)/(2)` ) = 3(x - 2) , that is

y +
`(1)/(2)` = 3(x - 2)