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2 years ago

If a line has a slope of 3 and goes through the point (-6,4) write the equation of the line in standard form

Mathematics

1 answer:

Effectus [21]2 years ago

5 0

Answer:

- 3x + y = 22

Step-by-step explanation:

Equation of the line

There are several forms to write the equation of a line.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where m is the slope and (h,k) is a point through which the line passes.

The standard form of the equation of a line is:

Ax + By = C

We are given the slope m=3 and the point (-6,4). Substituting into the first equation:

y - 4 = 3 ( x + 6 )

Operating:

y - 4 = 3x + 18

Adding 4:

y = 3x + 18 + 4

Subtracting 3x, we get the standard form:

- 3x + y = 22

You might be interested in

Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?

Dennis_Churaev [7]

Answer:

$(x+4)^2 + (y-9)^2 = 25$

Step-by-step explanation:

To write the equation of a circle, use the formula $(x-h)^2+(y-k)^2 = r^2$ where the center of the circle is (h, k).

This means the equation is $(x--4)^2 + (y-9)^2 = r^2\\\(x+4)^2 + (y-9)^2 = r^2$ .

Find the radius r by dividing the diameter of 10 in 2. The radius is 5.

So the equation of the circle is $(x+4)^2 + (y-9)^2 = 25$

7 0

3 years ago

½ is the same as 0.5 and the ratio of _____.

inessss [21]

1/2 IS the same as 0.5. Ratio is fairly easy. an example is 5/6. The ratio would be 5:6. Therefore 1/2 in ratio would be 1:2

4 0

2 years ago

Please help will give brainliest

Verizon [17]

Answer:

16.67%

Step-by-step explanation:

Decrease in number:

12 - 10 = 2

Percent decrease:

2/12*100% = 16.67% rounded

5 0

2 years ago

The value of N is both 5 times as much as the value of M and 36 more than the value of M. What are the values of N and M? Explai

vlabodo [156]

180 just multiply 36*5= 180

Thank you, i would be happy to have more questions

7 0

2 years ago

a birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given t

V125BC [204]

Answer:

$18.36

Step-by-step explanation:

In this question, we have to find the cost of the cake for the customer who orders a month early.

We know that the original price of the cake is $30.

We also know that there was a 28% discount and a 15% discount added to the purchase.

Remember, You don't add discount percentages together, you discount the prices separately.

Solve:

First, apply the 28% discount.

30 · 0.28 = 8.40

30 - 8.40 = 21.60

Now apply the 15% discount to the new price.

21.60 · 0.15 = 3.24

21.60 - 3.24 = $18.36

They needed to pay $18.36 for the cake.

6 0

3 years ago