Respuesta :

lyndalau86

Answer:

The equation would be y = 2x + 2

Step-by-step explanation:

We know that the equation of a line can be represented as:

(y - y1) = m ( x - x1)

where (x1, y1) is a point that belongs to the line and m is the gradient.

For this particular problem we would have (x1,y1) = (1,4) and m = 2.

If we substitute this data in the formula we  get:

(y - y1) = m (x - x1)

y - 4 = 2(x - 1)

y - 4 = 2x - 2

y = 2x - 2 + 4

y = 2x + 2

Therefore, the equation would be y = 2x + 2

Eduard22sly

The equation of the line which has a gradient of 2 and passes through the point (1,4) is:

y = 2x + 2

What is gradient

Gradient also known as 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 side

y – 4 + 4 = 2x – 2 + 4

y = 2x + 2

Learn more about coordinate geometry:

https://brainly.com/question/2564656

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