Question

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

Answer 1

y = 2x + 4

Explanation:

the equation of a line in point- slope form is

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

here m = 2 and passes through point (0, 4 ) ⇒ c = 4

y = 2x + 4 ← equation of line

Answer 2

y = 2x + 4

Explanation:

General form of linear equation: y = mx + c

where m is the gradient and c is the y-intercept

Given gradient = 2

⇒ m = 2

⇒ y = 2x + c

y-intercept is when x = 0

Given (0, 4), so y = 4 when x = 0

⇒ c = 4

⇒ y = 2x + 4