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3 years ago

Slope intercept form that passes through the given point and is parallel to the given line (2,-1) and y=2x+2

Mathematics

1 answer:

Luden [163]3 years ago

8 0

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y=2x+2

Comparing with the slope intercept form, slope = 2

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (2,-1) is 2

To determine the intercept, we would substitute m = 2, x = 2 and y = -1 into y = mx + c. It becomes

- 1 = 2×2 + c = 4 + c

c = - 1 - 4 = - 5

The equation becomes

y = 2x - 5

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Answer:

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3 years ago

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Answer:

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3 years ago

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umka21 [38]

Answer:

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4 years ago

Identify the type of conic section that has the equation 9x2+ 16y2 = 144 and identify its domain and range.

Kobotan [32]

9 x² + 16 y² = 144 /:144
$\frac{ x^{2} }{16} + \frac{ y^{2} }{9} =1$
General formula of ellipse ( the center is at the origin ): $\frac{ x^{2} }{ a^{2} }+ \frac{ y^{2} }{ b^{2} } =1$
a² = 16, b² = 9
Domain: [-a, a ] = [-4, 4]
Range:[-b, b ]
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Domain: { -4 ≤ x ≤ 4 }
Range: { -3 ≤ y ≤ 3 }

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3 years ago

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Answer:

Step-by-step explanation:

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