Question

How do you write an equation of a line given (0,4) and m=2?

Answer 1

`y = 2x + 4`

Explanation:

We use the point-slope form:
`y -y_1 = m(x -x_1)`
where `x_1` and `y_1` are the coordinates of a point on the line and `m` is the slope of the line. Given (0, 4) and `m = 2`, we get:
`y - 4 = 2(x - 0)`
This immediately simplifies to:
`y - 4 = 2x`
Isolating `y` gives the equation of the line in slope-intercept form:
`y - 4 + 4 = 2x + 4`
`y = 2x + 4`
Since the question does not specify which form of a linear equation is required, it is customary to give the answer in slope-intercept form.