Answer:
v = 3
Explanation:
You want the value of v in (v, 1), a point on the line with slope -10/3 through point (6, -9).
Point-slope equation
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
y +9 = -10/3(x -6) . . . . line with slope -10/3 through point (6, -9)
Application
Using the given value of y, we can find the corresponding value of x for point (v, 1):
1 +9 = -10/3(v -6)
30 = -10v +60 . . . . . . . multiply by 3, eliminate parentheses
v = 3 . . . . . . . . . . . . subtract 30, divide by -10
The value of v is 3.
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