Question

[ Please help! ] Choose the equation that represents the graph below.

y = -2x - 6

y = 2/3x + 6

y = -2/3x + 6

y = 2x + 6

Answer 1

The line crosses the x -axis at point (9,0) and the y-axis at point (0,6).

If the equation of the line is
`y=kx+b,` then substitute the coordinates of the points into this equation:

1)
`0=9k+b;`

2)
`6=b.`

Substitute the second equation into the first:

`9k+6=0,\\ \\k=-(2)/(3).`

The equation of the line is

`y=-(2)/(3)x+6.`

Answer: option C