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4 years ago

Choose the equation that represents the line that passes through the point (−1, 6) and has a slope of −3.

Mathematics

2 answers:

NNADVOKAT [17]4 years ago

3 0

Answer:

y= -3x+3

Step-by-step explanation:

First, write your current equation: y=-3x+b. Next, plug in the coordinate to your equation. It should look like this: 6= -3(-1)+b. Multiply -3 by -1 to get 3. This is what you should have: 6=3+b. Subtract 3 from both sides to get your y-intercept, 3. Go back to your original equation and plug in 3 to b. This is your final equation: y= -3x+3. So, the first answer is correct. Hope this helped!

siniylev [52]4 years ago

3 0

Answer:

y = −3x + 3

Step-by-step explanation:

Took the test

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Choose the equation that satisfies the data in the table.

pychu [463]

The linear equation that satisfy the data in the table is: A. y = −4x − 4.

<h3>How to Find the Linear Equation for a Data in a Table?</h3>

Given the table attached below, find the slope (m) = change in y / change in x using two pairs of values, say, (-1, 0) and (0, -4):

Slope (m) = (-4 - 0)/(0 - (-1)) = -4/1 = -4

Find the y-intercept (b), which is the value of y when x = 0. From the table, when x = 0, y = -4.

b = -4.

Substitute m = -4 and b = -4 into y = mx + b

y = -4x + (-4)

y = -4x - 4

The equation that satisfy the data is: A. y = −4x − 4.

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brainly.com/question/4074386

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2 years ago

A box had twice as many grapes as a basket. Once 2 kg of grapes were added to the basket, it contained 0.5 kg more than the box.

guapka [62]

Answer:

3.5kg

Step-by-step explanation:

Let original weight of grapes in box be X and weight of grapes in basket be Y.

From the first sentence
X = 2Y (weight in box = 2 times weight in basket) --- (1)

If you add 2kg of grapes to basket, the weight of grapes in basket = Y + 2

From the second statement

Y + 2 = X + 0.5

Subtracting Y from the LHS gives 2 = X - Y + 0.5

Subtracting 0.5 from both sides gives 2-0.5 = X - Y or X - Y = 1.5 --- (2)

Substituting for X from the first equation in (2) we get
2Y - Y = 1.5 or Y = 1.5kg

But this is the original weight of the grapes in the basket. Since we have added 2 kg of grapes to the original weight, we get the weight of grapes in basket now as 1.5 + 2.0 = 3.5kg

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2 years ago

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denpristay [2]

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4 years ago

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Ierofanga [76]

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3 years ago

Solve for x

ludmilkaskok [199]

Answer:

x = 3/4

Step-by-step explanation:

Step 1: Write equation

5x - 2(x + 1) = 1/4

Step 2: Solve for x

Distribute -2: 5x - 2x - 2 = 1/4
Combine like terms: 3x - 2 = 1/4
Add 2 to both sides: 3x = 9/4
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Step 3: Check

Plug in x to verify it's a solution.

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3 years ago