Write the equation of the line that is perpendicular to the graph y= 1/2x + 6 and whose y-intercept is (0,-2)

The equation of this line would be y = -2x - 2

Step-by-step explanation:

In order to find this, we must first find the slope. Since it is perpendicular to an equation with a 1/2 slope, we know the slope must be -2 (all perpendicular slopes should be opposite and reciprocal). Then we plug this into slope-intercept form.

y = mx + b

y = -2x + b

We also already know b since it is the y -intercept. So, we take the y-value of the point and put it in for b.

y = -2x - 2