how to write the equation of the line parallel to y= -4x - 3 , through the point (2,6). give the answer in slope intercept form

Answer 1

Mya,

The given equation is in slope intercept form, so we know the slope is -4. Parallel lines have the same slope, so the slope of the equation we are asked to write is also -4. We are given that this line passes through (2,6).

In order to write in y = mx +b form, we need to solve for b (the y-intercept). We know x=2, y=6, and m = -4.

6 = (-4) (2) + b

Simplify:

6 = -8 + b

Solve for b:

b = 14

So the equation of the parallel line is y = -4x + 14