Find the equation of the line that goes through the origin and is parallel to the line y=−0.5x−8

Answer 1

If it goes through the origin, its equation is

y = mx
where m is the slope.

So, what is the slope of your given line?

Answer 2

Or, coonsider that your line is given in the slope-intercept form, so its y-intercept is at (0,-8).

So, what would be the line with the same slope, where the y-intercept is at (0,0) ?

Answer 3

(0, 0), m = -0.5.
Y = mx + b.
0 = -0.5 * 0 + b.
b = 0.
Eq: Y = -0.5x.