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

the third option

Step-by-step 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 = , thus

y = x + c ← is the partial equation

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

- 4 = 1 + c ⇒ c = - 4 - 1 = - 5

y = x - 5 ← equation of line

y = one half x − 5

Step-by-step explanation:

y = (½)x + c

-4 = (½)(2) + c

-4 = 1 + c

c = -5

y = (½)x - 5

step-by-step explanation:

quartic functions has x = –1 and x = –2 as its only two real zeroes:

f(x) = a(x+2)(x+1)   a: real number