Question

Help please with this question

Answer 1

Answer:

b. x - 2y = 4

Step-by-step explanation:

The two points on the graph are (0, -2) and (4, 0).

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

  = (0 - (-2)) / (4 - 0)

  = 2 / 4

  = 1 / 2

Find y intercept using anyone of the points above:

y = mx + b

-2 = 1/2(0) + b

b = -2

Use m and b to make equation of line:

y = mx + b

y = 1/2x - 2

Possible answers:

a. 4x - 2y = 4

         -2y = -4x + 4

             y = 2x - 2

b. x - 2y = 4

       -2y = -x + 4

           y = 1/2x - 2

c. -2x + 4y = -4

            4y = + 2x - 4

              y = 1/2x - 1

Only choice b equals the equation of line above.