Answer:
y = -1/4x + 3
Step-by-step explanation:
y=mx+b is the slope-intercept form, which your equation y=4x-4 is already in.
To find the perpendicular line, you must take the negative reciprocal of the slope.
y = -1/4x + b
Your "b" will not be the same as the given equation, since the y-intercepts will not be the same. Therefore, you must solve for it using the point given.
Plug in (4, 2) [general: (x, y)] to the corresponding spots in y = -1/4x + b.
(2) = -1/4(4) + b
2 = -1 + b
b = 3
Now that you know m and b, you can plug all the values back into the form y = mx+b.
**Remember that y and x are never plugged back in! You need two variables to have a linear line
y = -1/4x + 3 is the answer.
