Question

What is the equation of the line that passes through the point (2,-2) and has a slope of -1/2?

Answer 1

Answer:

y = - $\frac{1}{2}$ x - 1

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 = - $\frac{1}{2}$ , then

y = - $\frac{1}{2}$ x + c ← is the partial equation

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

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - $\frac{1}{2}$ x - 1 ← equation of line

Answer 2

Answer:

y=-1/2x-1

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-2)

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

y=-1/2x+2/2-2

y=-1/2x+1-2

y=-1/2x-1