Write the equation of a line in slope intercept form that is perpendicular to y = 2x - 5 and contains (-50,10(

The equation of the line would be y = -1/2x - 15

Step-by-step explanation:

To find the equation, we need to start by looking at the original equation's slope, which is 2. Perpendicular lines have opposite and reciprocal slopes, so the new line will have a slope of -1/2.

Now we use that and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 10 = -1/2(x + 50)

y - 10 = -1/2x - 25

y = -1/2x - 15