Which is an equation of the line that passesthrough the point (-4, 4) and is parallel to the line y= 1/2x - 4?

Answers

Answer 1

Answer:

Answer:

y=1/2x+6

Step-by-step explanation:

Lines that are parallel will have the same slope, so the slope will remain 1/2. However, the y-intercepts can't be the same because then they will overlap each other instead. So we must solve for the missing y-intercept in this case:

y = 1/2x + b

4 = 1/2(-4) + b

4 = -2 + b

6 = b

b = 6

Since the y-intercept is b=6, then the equation of the line that passes through the point (-4,4) and is parallel to the line y=1/2x-4 is y=1/2x+6

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Answers

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Answer:

Step-by-step explanation:

Which measurement is equivalent to 350 milliliters?

Answers

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Solve for x 6(x-1)=9(x+2)

Answers

Simplifying 6(x + -1) = 9(x + 2) Reorder the terms: 6(-1 + x) = 9(x + 2) (-1 * 6 + x * 6) = 9(x + 2) (-6 + 6x) = 9(x + 2) Reorder the terms: -6 + 6x = 9(2 + x) -6 + 6x = (2 * 9 + x * 9) -6 + 6x = (18 + 9x) Solving -6 + 6x = 18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -6 + 6x + -9x = 18 + 9x + -9x Combine like terms: 6x + -9x = -3x -6 + -3x = 18 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -3x = 18 + 0 -6 + -3x = 18 Add '6' to each side of the equation. -6 + 6 + -3x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 18 + 6 -3x = 18 + 6 Combine like terms: 18 + 6 = 24 -3x = 24 Divide each side by '-3'. x = -8 Simplifying x = -8

6(x-1)=9(x+2)
6x-6=9x+18
6x=9x+24
-3x=24
-x=8
x=-8

Solve For a please and thanks