Question

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

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:

$9k+6=0,\\ \\k=-\dfrac{2}{3}.$

The equation of the line is

$y=-\dfrac{2}{3}x+6.$

Answer: option C