Answer:
y = ⅔x - 5
Step-by-step explanation:
To write the equation, find the slope (m), to enable you write the equation of the line in point-slope form given a point, (-3, -7) that the line passes through.
Since the line is parallel to 2x - 3y = 24,, it would have the same slope (m) value.
Rewrite 2x - 3y = 24 in slope-intercept form.
Thus:
2x - 3y = 24
-3y = -2x + 24
y = ⅔x - 12
The slope of 2x - 3y = 24 is ⅔. Therefore, the line that is parallel to 2x - 3y = 24 is also ⅔.
To write the equation of the line, substitute (a, b) = (-3, -7) and m = ⅔ into y - b = m(x - a)
Thus:
y - (-7) = ⅔(x - (-3))
y + 7 = ⅔(x + 3)
y + 7 = ⅔x + 2
y = ⅔x + 2 - 7
y = ⅔x - 5
The answer is:
<span>(6x + 11)(x – 5)</span>
Answer:
The completely factorized form is: (x - 1)(x + 2 )(x - 3)
Step-by-step explanation:
To find the solution, we use Ruffini's rule:
1 - 2 -5 + 6
We first divide by (x-1): 1 1 -1 -6
________________________
1 -1 -6 0
Then divide by (x + 2): - 2 -2 +6
_______________________
1 -3 0
Then, the rest of the division is: x - 3
Thus, the completely factorized form is: (x - 1) (x + 2 ) ( x - 3)
