Write the equation of the line that passes through the point (8,4) and is parallel to the line with equation y = -6x+3

Answer 1

To find the equation,

you are given a point, (8,4)

The question asks for a parallel slope. Parallel lines have the same slope , so your slope for the new equation will be (-6).

now that you have your two points and the new slope, you will use point-intercept form:

y - y1 = m (x - x1)

Your next step is to plug in the values you already have.

Y - (4) = -6 (x - 8)

Now simply.

Y -4 = -6x +48

y= -6x+48+4

y= -6x+52