Question

Write an equation of the line in slope-intercept form. The slope is \(-2 ;\) the \(y\) -intercept is \(0 .\)

Short answer

The equation of the line in slope-intercept form is \(y = -2x\).

Step-by-step solution

Identify the given values

The given values are the slope \(m = -2\) and the y-intercept \(c = 0\).

Recall the slope-intercept form of a line

The slope-intercept form is given by \(y = mx + c\).

Substitute the given values

By substituting the given values \(-2\) for \(m\) and \(0\) for \(c\) into the formula, we get the equation of the line as \(y = -2x + 0\).

Simplify the equation

The '+ 0' part can be eliminated in the equation, as adding zero to any variable won't change its value, hence the final equation of the line is \(y = -2x\).