Question

Choose the equation below that represents the line passing through the point (2, −4) with a slope of one half .

y = one half x + 5

y = one half x − 3

y = one half x − 5

y = one half x + 3

Answer 1

y = one half x − 5

Explanation:

y = (½)x + c

-4 = (½)(2) + c

-4 = 1 + c

c = -5

y = (½)x - 5

Answer 2

the third option

Explanation:

The equation of a line in slope- intercept form is

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

Here m =
`(1)/(2)`, thus

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

To find c substitute (2, - 4) into the partial equation

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y =
`(1)/(2)` x - 5 ← equation of line