Question 1205474
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The question should read "Write AN equation for the line".  There are many equivalent forms for the equation of any line.<br>
One common form is slope-intercept form: {{{y=mx+b}}}; m is the slope and b is the y-intercept.<br>
To determine the slope for this problem, in your mind or on paper observe that the second point is 9 units to the right and 3 units down from the first point; the slope is "rise over run" = -3/9 = -1/3.  So the slope-intercept form of the equation is of the form {{{y=(-1/3)x+b}}}<br>
Then one way to determine the y-intercept b is to plug the coordinates of either given point into that equation.  Choosing the second point,<br>
{{{y=(-1/3)x+b}}}
{{{1=(-1/3)(6)+b}}}
{{{1=-2+b}}}
{{{b=3}}}<br>
So the slope-intercept form of the equation is<br>
ANSWER: {{{y=(-1/3)x+3}}}<br>