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OlgaM077 [116]
3 years ago
7

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Mathematics
1 answer:
sergeinik [125]3 years ago
6 0
If they are parallel then the coefficients of x and y will remain the same.  Only the constant will change.

2x + 3y = ?
2(-2) +3(3) = -4 + 9 = 5 so ? is 5

ANSWER: 2x + 3y = 5
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What is the equation in slope-intercept form of the linear function represented by the table?
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Answer:

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Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5).  Your first objective is to find the slope.

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i.e. (-2,11) and (4,5): \frac{11-5}{-2-4} which is \frac{6}{-6}, or -1.  Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept.  Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0.  We now know that the y-intercept is (0,y).  To find the y-value, plug one of the coordinate pairs of choice into x and y.

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9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

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2 years ago
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