Which equation represents a line that passes through (4,1/3)and has a slope of 3/4

y = x + or 12y = 9x -32 or y - 1/3 =3/4(x-4)

Step-by-step explanation:

The equation of a line in the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

The other form is the point-slope form where the point (x₁, y₁)  and a slope m are given, and you  have to plug it into formula:

y – y₁ = m(x – x₁)

Here:

y - 1/3 =3/4(x-4)multiply both sides by 12 to loose fraction

12y -4 = 9(x-4) distribute

12y -4  = 9x -36 add 4 on both sides

12y = 9x -32 divide by 12

y = x + simplify factions

y = x +

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: