Question

write the equation of the line that is parallel to y=-1/2x-3 and that will pass through the point (4,-1)

Answer 1

Parallel lines have the same slope.

y = -1/2 x -3 has a slope of -1/2, so the new line has the same slope.

This gives us: y = -1/2 x + b

To find b, substitute in the given point (4,-1):

-1 = -1/2 (4) + b

-1 = -2 + b

1 = b

The new line is y = -1/2 x + 1.