Which equation represents a line that has a slope of 1/3 and passes through the point (–2, 1)?

Step-by-step explanation:

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

m - slope

We have

Substitute:

→ the point-slope form

Convert to the slope-intercept form:

          use the distributive property

   add 1 = 3/3 to both sides

→ the slope-intercept form

Convert to the standard form:

      multiply both sides by 3

            subtract x from both sides

        change the signs

→ the standard form

Convert to the general form:

        add 5 to both sides

→ the general form

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.