

Find the values of x for which the denominator is equal to zero for y=3x+5/x-6.
x = −5
x = 6
<h2>x = −6</h2>
therefore the answer is
<h2>x = −6</h2>


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Try this solution with short explanation; note, the suggested way is not the shortest one; the answers are marked with red colour.
Task no. 2: another solution is 45* (4/5) / (6/4) = 24 min.
We have:
The generic equation of the line is: y-yo = m (x-xo)
The slope is:
m = (y2-y1) / (x2-x1)
m = (- 2-0) / (3-0)
m = -2 / 3
We choose an ordered pair
(xo, yo) = (0, 0)
Substituting values:
y-0 = (- 2/3) (x-0)
Rewriting:
y = (- 2/3) x
Answer:
The equation of the line is:
y = (- 2/3) x