The slope of a line is 0 and it contains the point (3,1)

Step-by-step explanation:

The point-slope form of an equation of a line:

m - slope

(x₁, y₁) - point on a line

We have m = 0, (3, 1) → x₁ = 3, y₁ = 1.

Substitute:

     add 1 to both sides

Other method.

If the slope is equal 0, then it's a horizontal line.

The equation of a horizontal line: y = a.

We have the point on a line (3, 1) → x = 3, y = 1.

Therefore the equation is y = 1.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )