Question

Write the slope-intercept form of the equation through (4, 2) perpendicular to y=4x-4

Answer 1

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.