What is the equation of the line that passes through the point (4,−2) and has a slope of -2

y = -2x + 6

Step-by-step explanation:

Point slope form is y - y1 = m(x-x1)

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

y + 2 = -2x + 8

y = -2x + 6

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2