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2 years ago

Find the equation of the line that passes through (-1,-3) and is perpendicular to

Mathematics

2 answers:

miv72 [106K]2 years ago

3 0

Answer:

y = -2x - 5

Step-by-step explanation:

2y = x - 3

y = 1/2x - 3/2

gradient = 1/2

perpendicular gradient = negative reciprocal = -2

y = -2x + c

(-3) = -2(-1) + c

-3 = 2 + c

-5 = c

Alenkinab [10]2 years ago

3 0

Answer:

Step-by-step explanation:

<u>Equation of the line (current) in y = mx + c</u>

2y = x - 3
y = x/2 - 3/2

The slope of a perpendicular line has to be -ve to the current line.

⇒ m' = -1/2

To find the y-intercept, take the x-coordinate to be 0 and substitute in the equation :

y - y₁ = m (x - x₁)

y + 3 = -1/2 (0 + 1) [Also using the point (-1, -3) to make sure line crosses it]

y + 3 = -1/2

y = -7/2

Therefore, the new equation is :

<u>y = -x/2 - 7/2</u>

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3 years ago

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3 years ago

Variable y varies directly with variable x. If x = 12, then y = 3. What is the value of y

Monica [59]

Answer:

Step-by-step explanation:

To find the value of y when x = 8 we must first find the relationship between the two variables.

The statement

y varies directly with variable x is written as

y = kx

where k is the constant of proportionality

when

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y = 3

Substitute the values into the above formula and solve for k

That's

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So the formula for the variation is

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when

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we have the final answer as

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Answer:

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3 years ago