Question 1204106
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You should understand how to use formal algebra to find the answer, as the other tutors did.<br>
But you can get a better understanding of the topic by working the problem informally.<br>
You are given that the slope is -2/3, so to write the equation in slope-intercept form you only need to find the y-intercept.<br>
The given point is (9,0).  To get from there to the y-axis, you need to move 9 units to the left.<br>
With a slope of -2/3, in moving 9 units to the left you will move 6 units (2/3 of 9) up -- so the y value where you end up is +6 from the y value where you started, which was 0.  So the y value where you end up -- which is the y-intercept -- is 0+6 = 6.<br>
Then you have both the slope -2/3 and the y-intercept 6; the equation is<br>
ANSWER: y = (-2/3)x+6<br>