What equation is graphed in this figure? y−4=−13(x+2) y−3=13(x+1) y+2=−3(x−1) y−5=3(x−1) Number graph ranging from negative four
to four on the x and y axes. A line is drawn on the graph that passes through begin ordered pair negative one comma four end ordered pair and begin ordered pair one comma negative two end ordered pair
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2 answers:
Answer: The correct option is 3.
Explanation:
It is given that the line passes through (-1,4) and (1,-2).
The slope of the line is,
The slope of the given line is,
The point slope form of a line is,
Where, m is the slope.
Since slope is -3 and point is (-1,4), then the equation of line is,
Since slope is -3 and point is (1,-2), then the equation of line is,
Therefore, the correct option is 3.
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Answer:
Step-by-step explanation:
Since the divisor of is in the form of
we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 1 −17
↓ 4 20
_________
1 5 3 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, giving you the quotient of
However, in this case, since you have a remainder of 3, this gets set over the divisor.
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