Question

Which of the following equations represents the line that is graphed on the coordinate grid below?

y=−1/3x+ 2y=−13x+ 2

y=−1/3x−6y is equal to negative 1 third x minus 6

y=−3x+6y is equal to negative 3 x plus 6

y=−3x+2

Answer 1

y = -(1/3)x + 2

Explanation:

Keeping in mind the equation of a line: y = mx + c

Notice three discernible points on the graph: (0,2), (3,1), (6,0).

The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.

Therefore, when x = 0, y = 2. And 2 = m(0) + c

c = 2

Also, when y = 0, x = 6. And 0 = 6m + 2

6m = -2. And m = -(2/6) = -(1/3)

Therefore, y = -(1/3)x + 2