Write an equation of the line that is parallel to y = 1/2 x + 3 and passes through the point (10, -5). a) y = 2x - 15 b) y = -2x + 15 c) y = - 1 2 x d) y = 1 2 x - 10

The equation of this line is D) y = 1/2x - 10

Step-by-step explanation:

In order to find this, we need to first find the slope. The slope of the equation will match the line it is parallel to. Since the first line has a slope of 1/2 (the coefficient of x), we know our new line will too. Now that we have that information start with the basic form of point-slope form.

y - y1 = m(x - x1)

Now put the slope in for m and the point in for (x1, y1)

y + 5 = 1/2(x - 10)

Now solve the equation for y.

y + 5 = 1/2x - 5

y = 1/2x - 10