Question

identify an equation in point slope form for the line parallel to y=-2/8x+8 that passes through (4,-5)

Answer 1

Step-by-step explanation:

the point-slope form is

y - y1 = m(x - x1)

where (x1, y1) is a point on the line.

m is the slope of the line, which is always (in any form) the factor of x.

the parallel line has -2/8 as factor of x, which is therefore also the slope of our new line (after all, it has to be parallel, so it must have the same slope).

so, we have

y + 5 = -2/8 × (x - 4)

which can be simplified, of course, to

y + 5 = -1/4 × (x - 4)