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3 years ago

Which of the following equations is direct variation? Y=2x,y=x+2,y=2,y=-2x-1

Mathematics

1 answer:

Andrew [12]3 years ago

3 0

Answer:

y=2x

Step-by-step explanation:

Direct variation is such that y=kx where k is the rate of change. In direct variation the graph must cross the origin (0,0) meaning that the y-intercept is zero. The only equation that satisfies the definition of direct variation is y=2x.

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What is the equation of a line that passes through the points (-3, 4) and (2,8)?

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Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

Slope:

The slope of the line can be determined using the formula,

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Substituting the points (-3,4) and (2,8) in the above formula, we get;

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Thus, the equation of the line is $y=\frac{4}{5}x+\frac{32}{5}$

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3 years ago

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3 years ago

Find the sum. 2(-5y+6)+(2y-8)

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Answer: I am just hoping that this is the correct answer

Step-by-step explanation:

2(-6 + -5y) + (2y + -8) = 0

(-6 * 2 + -5y * 2) + (2y + -8) = 0

(-12 + -10y) + (2y + -8) = 0

Reorder the terms:

-12 + -10y + (-8 + 2y) = 0

Remove parenthesis around (-8 + 2y)

-12 + -10y + -8 + 2y = 0

Reorder the terms:

-12 + -8 + -10y + 2y = 0

Combine like terms: -12 + -8 = -20

-20 + -10y + 2y = 0

Combine like terms: -10y + 2y = -8y

-20 + -8y = 0

Solving

-20 + -8y = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '20' to each side of the equation.

-20 + 20 + -8y = 0 + 20

Combine like terms: -20 + 20 = 0

0 + -8y = 0 + 20

-8y = 0 + 20

Combine like terms: 0 + 20 = 20

-8y = 20

Divide each side by '-8'.

y = -2.5

Simplifying

y = -2.5

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