Question

Enter the equation of the line in slope-intercept form.

The line perpendicular to y = −2x that passes through (0, 0).

The equation of the line that passes through (0, 0) is y = .

Answer 1

The equation is;

y = x/2

Explanation:

General form of the equation of a straight line is;

y = mx + c

where m slope

For the given equation , the slope is -2

If two lines are perpendicular, then the product of their slopes is -1

So the slope of the second line will be

-2 * m2 = -1

m2 = -1/-2

m2 = 1/2

Using the point-slope form, we have

y-y1 = m(x-x1)

Here (x1,y1) = (0,0)

y-0 = 1/2(x-0)

y = 1/2x or simply

y = x/2