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sammy [17]
2 years ago
8

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

#SPJ1

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