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3 years ago

Write the equation of the line that parallel to y=1/2-4 and passes through point (9,-6)

Mathematics

1 answer:

Ainat [17]3 years ago

6 0

Hello!

To find the equation of a line parallel to y = 1/2x - 4, first, we need to know that if two line are parallel, then their slopes are equivalent.

Thus, we create a new equation in slope-intercept form, which includes the original slope, which is currently 1/2.

Since the equation needs a y-intercept, we would substitute the given point into the equation and solve.

y = 1/2x + b (substitute the given ordered pair)

-6 = 1/2(9) + b

-6 = 4.5 + b (subtract 4.5 to both sides)

b = -10.5

Therefore, the equation of the line parallel to y = 1/2x - 4 is y = 1/2x - 10.5. This is also written as y = 1/2x - 21/2.

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3 years ago

Solve the equation for x (if possible please show work)

Daniel [21]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 4}}}}}$

Step-by-step explanation:

$\sf{3x - 5 = 2x - 9}$

Move 2x to left hand side and change it's sign

⇒ $\sf{3x - 2x - 5 = - 9}$

Move 5 to right hand side and change it's sign

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Collect like terms

⇒ $\sf{x = - 9 + 5}$

Calculate

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Hope I helped!

Best regards!!

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4 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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