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2 years ago

Work out the equation of a line which has a gradient of 2 and passes through the line (1, 4).

Mathematics

1 answer:

KATRIN_1 [288]2 years ago

3 0

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

We have given that,

A line that has a gradient of 2 and passes through the line (1, 4).

We have to determine the equation of the line,

<h3>What is the gradient?</h3>

The gradient also known as the slope is the defined as

Gradient (m) = change in y coordinate / change in x coordinate

The equation of a line passing through a given point is given by the following equation

y – y₁ = m(x – x₁)

How to determine the equation of the line passing through point (1,4)

x coordinate (x₁) = 1

y coordinate (y₁) = 4

Gradient (m) = 2

Equation =

y – y₁ = m(x – x₁)

y – 4 = 2(x – 1)

Clear bracket

y – 4 = 2x – 2

Make y the subject by adding 4 to both sides

y – 4 + 4 = 2x – 2 + 4

y = 2x + 2

The equation of the line which has a gradient of 2 and passes through the point (1,4) is y = 2x + 2.

To learn more about the line visit:

brainly.com/question/5396646

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olga55 [171]

Answer:

Area of the circle = $24.618\,feet^2$

Step-by-step explanation:

Radius of the circle= $2.8\,feet$

Area of the circle= $\pi \times r^2$

As,

$\pi =\dfrac{22}{7} =3.14$

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$=3.14\times 2.8 \times 2.8\\\\= 3.14 \times 7.84\\\\=24.618\,feet^2$

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3 years ago

Read 2 more answers

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babymother [125]

Answer:

A. (2i)(8) = d. 16i

B. 16i³ = b. -16i

C. (2i)⁴ = a. 16

D. (2i)(8i) = c. -16

Step-by-step explanation:

A. Multiply 2i by 8 to get 16i, which corresponds to d.

B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.

C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.

D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.

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3 years ago

What is the perimeter of a square with s = 8 centimeters?

andrew11 [14]

Answer:

32centimeters

Step-by-step explanation:

4 sides are in a sqaure and all of them are equal so

8 times 4 is 32

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3 years ago

What is the slope between point A (-9, 4) and B ( 3, -2)

MaRussiya [10]

Slope can be calculated using the formula: m= $\frac{y2 -y1}{x2-x1}$

y1/x1 represents the first number in the bracket

y2/x2 represents the second number in the bracket

Calculation

m = $\frac{y2 -y1}{x2-x1}$

m = $\frac{4 - (-2)}{(-9)-3}$

m= 6/-12

m= -0.5 or -1/2

Therefore, the answer is B.

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3 years ago

Y=mx+b (-6,-3) and (0,9)

Leno4ka [110]

Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m = $\frac{9+3}{0+6}$ = $\frac{12}{6}$ = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

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3 years ago