Question

Write an equation of the line in slope-intercept form. The slope is \(-2 ;\) the \(y\) -intercept is \(-6\)

Short answer

The equation of the line in slope-intercept form is \(y = -2x - 6\).

Step-by-step solution

Identify the slope and y-intercept

From the problem, the slope \(m\) is given as -2 and the y-intercept \(c\) is -6.

Substitute the values into the slope-intercept form

Replace \(m\) with -2 and \(c\) with -6 in the equation \(y = mx + c\). Therefore the equation becomes \(y = -2x - 6\).