Question

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

Answer 1

`y + 2 = 4x` is the equation of the line, in simplified point-slope form.

Explanation:

Use the point-slope form of a linear equation, because you have all the necessary information for this form. The basic point-slope form is:
`y - y_1 = m(x - x_1)`
where `x_1` and `y_1` are the coordinates of a known point and `m` is the slope of the line.
`y - -2 = 4(x - 0)`
Simplify the obvious issues to obtain a more properly formatted answer:
`y + 2 = 4x`

As long as the instructions do not require the line to be written in slope-intercept or standard form, you have the answer.