Question

Write the equation of a line that is parallel to y=-0.75x and that passes through the point (8,0)

Answer 1

So for a linear line to be parallel to another line, they have to have the same slopes.  The given line has a slope of -.75

If we use the point slope formula, which is y - y1 = m( x - x1 ) we can plug in the slope and the point that the line must go through to get the new line.

y - 0 = -.75( x - 8 )

y = -0.75x + 6

The equation of the line that is parallel to y = -0.75x and passes through (8,0) is

y = -0.75x + 6