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

Oct 5, 2016

$y + 2 = 4 x$ 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:
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
where ${x}_{1}$ and ${y}_{1}$ are the coordinates of a known point and $m$ is the slope of the line.
$y - - 2 = 4 \left(x - 0\right)$
Simplify the obvious issues to obtain a more properly formatted answer:
$y + 2 = 4 x$

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