Question

Use the perpendicular slope 1/2 and the point

(-3,2) to find the equation of the line
y = -2x + 12
y = 1/2x + 1
y = 1/2x + 5
y = 1/2x +3.5

Answer 1

4th option

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given m =
`(1)/(2)` , then

y =
`(1)/(2)` x + c ← is the partial equation

to find c substitute (- 3, 2 ) into the partial equation

2 = -
`(3)/(2)` + c ⇒ 2 +
`(3)/(2)` =
`(7)/(2)` = 3.5

y =
`(1)/(2)` x + 3.5 ← equation of line