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2 years ago

Write an equation of the line that passes through (-5,3) and is parallel to the line y=-x+3

Mathematics

1 answer:

Marat540 [252]2 years ago

5 0

Answer:

y = -x - 2

Step-by-step explanation:

Note that the given line, y=-x+3, has a slope of -1. Any new line parallel to this one must also have that slope, -1:

y=-x+3 becomes 3 = -(-5) + C, where C is the y-intercept:

3 = 5 + C, or C = -2

Thus, the desired equation of this new line is y = -x - 2

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Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,

Tanzania [10]

Answer:

$y = -\frac{2}{5}\cdot x - 11$

Step-by-step explanation:

First, the slope is determined by using the following expression:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{-7-(-9)}{-10 - (-5)}$

$m = -\frac{2}{5}$

The y-intercept is found by using the line equation, the slope and one point:

$y = m \cdot x +b$

$b = y - m\cdot x$

$b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)$

$b = -11$

The equation of the line is:

$y = -\frac{2}{5}\cdot x - 11$

7 0

3 years ago

One bag of rice that weighs 4.5 pounds will have enough rice if a recipe calls for 60 ounces of rice. (1 pound = 16 ounces)

dimulka [17.4K]

Answer:

Step-by-step explanation:

Since the bag of rice is 4.5 pounds, and there are 16 ounces per pound, multiply 16 x 4 = 64. Now what is half of 16? 8! So divide 5/8 = 0.625.

So in the end, yes the bag of rice will have enough rice. Here's my math:

16 x 4 = 64

5 / 8 = 0.625

So, you will have 64.625 ounces of rice which is plenty for your recipe!

I really hope this helps you!

6 0

2 years ago

Pls help lol its a quiz

White raven [17]

I would say F cause a triangle sides add up to 180

4 0

2 years ago

Read 2 more answers

What is 3/13 expessed as a decimal

OverLord2011 [107]

Answer:

Decimal form of 3/13 is 0.2307692.

Step-by-step explanation:

Converting the fraction to the decimal which is easily dividing numerator by denominator is the correct answer that is 0.2307692.

3 0

2 years ago

Write the equation of the line that is parallel to the line y = 3x – 5 and passing

sergey [27]

Y=3x+17

this passes through the point (-5,2) and is parallel to y=3x-5

7 0

2 years ago