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My name is Ann [436]
2 years ago
7

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?The line repre

sents a direct variation because -4/3=4/3 .The line represents a direct variation because it is horizontal.The line does not represent a direct variation because it does not go through the origin.The line does not represent a direct variation because –4(3) ≠ 4(3).
Mathematics
1 answer:
Artyom0805 [142]2 years ago
4 0

Answer:

The line does not represent a direct variation because it does not go through the origin.

Step-by-step explanation:

The two points are on the horizontal line y=3. It does not go through the origin and does not represent a function y = kx for any value of k. The line does not represent direct variation.

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Answer:

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Explanation:

The equation of a line with slope m that goes through the point (x1, y1) is:

y-y_1=m(x-x_1)_{}

Additionally, two lines are parallel if they have the same slope.

The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.

So, the slope of our line is also -5/3.

Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:

\begin{gathered} y-1=-\frac{5}{3}(x-(-3)) \\ y-1=-\frac{5}{3}(x+3) \end{gathered}

Finally, solving for y, we get:

\begin{gathered} y-1=-\frac{5}{3}x-(\frac{5}{3}\cdot3) \\ y-1=-\frac{5}{3}x-5 \\ y=-\frac{5}{3}x-5+1 \\ y=-\frac{5}{3}x-4 \end{gathered}

So, the answer is:

y = (-5/3)x - 4

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