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Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
Leave your answer in the form y = mx + c


Sagot :

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = 2 + c

Therefore:

c = 2

So, y = 2x + 2

Brainlist pls!

The equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Equation of a line

The equation of a line in point-slope form is expressed as:

y = y1 = m(x-x1)

Given the following

Slope m = 2

(x1, y1) = (0, 4)

Substitute

y - 4 = 2(x- 0)

y -4 = 2x

y = 2x + 4

Hence the equation of a line that passes through the point (0,4) and has a gradient of 2 is y = 2x + 4

Learn more on equation of a line here: https://brainly.com/question/18831322