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

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2 years ago

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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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Mathematics

2 answers:

zlopas [31] · Answer 1 · 2022-06-23T04:08:11+03:00

zlopas [31]2 years ago

6 0

Answer:

Correct answer is 8x-9=23

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omeli [17] · Answer 2 · 2022-06-23T01:53:33+03:00

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,

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of the given line is,

$m=\frac{-2-4}{1-(-1)} =\frac{-6}{2}=-3$

The point slope form of a line is,

$y-y_1=m(x-x_1)$

Where, m is the slope.

Since slope is -3 and point is (-1,4), then the equation of line is,

$y-4=-3(x+1)$

Since slope is -3 and point is (1,-2), then the equation of line is,

$y+2=-3(x-1)$

Therefore, the correct option is 3.