Question

Write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.

Answer 1

y=-1/2x

Explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y=-1/2x+2-2

y=-1/2x

Answer 2

y

=

−

1

3

(

x

+

3

)

Explanation:

The point-slope form of a linear equation is:

(

y

−

y

1

)

=

m

(

x

−

x

1

)

Where

(

x

1

,

y

1

)

is a point on the line and

m

is the slope.

Substituting the values from the point in the problem and the slope provided in the problem gives: