Question

Write the equation in slope-intercept form. Then graph the equation. $$y=-2$$

Short answer

The equation in slope-intercept form is \(y = -2\), the slope is 0 and the y-intercept is -2. The graph is a horizontal line passing through the y-axis at -2.

Step-by-step solution

Write in Slope-Intercept Form

The equation \(y = -2\) is already in slope-intercept form. So, our \(m\) (slope) equals 0 and \(b\) (y-intercept) equals -2.

Plot the Y-intercept

The y-intercept is the point where the line crosses the y-axis. Since \(b\) equals -2, the y-intercept is at the point (0, -2).

Draw the Line

Because the slope of the line \(m\) is 0, this line is a horizontal line. From the y-intercept (0, -2), draw a horizontal line through this point.