We can use the two point form to find the answer:
[tex]y1 - y2 = m(x1 - x2) [/tex]
Where y1 is the y coordinate(coordinate on the right hand side of (-9)) of the of the first coordinates, and y2 is the y coordinates of the second coordinates given (0).
While x1(-9) and x2(-6) are the x-coordinates(left hand side of the coordinates) of the coordinates given seperately.
m is the slope of the two points, and the formula is:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
In this case:
[tex] \frac{ - 9 - ( 0)}{ - 9 - (-6)} \\ = \frac{ - 9 }{ - 9 + 6 } \\ = \frac{ - 9}{ -3 } \\ = 3 [/tex]
We can then proceed to find the eqaution by putting *one* of the points into the two-point formula.
Put (-6，0) into the formula:
-0-y = 3(-6-x)
-y = -18 - 3x
y = -(-18 - 3x)
y = 18 + 3x
Therefore the answer is y= 18+3x.
Hope it helps!
