Write an equation in point-slope form for the line that is perpendicular to the given line and passes through the given point.
y - 3 = 4 (x + 2) through the point (- 2,6)

 4y + x - 22 = 0

Step-by-step explanation:

Recall that  for two lines to be perpendicular m1m2 = -1 ie, the product of their gradients must = -1

from the equation given, y - 3 = 4(x + 2), we need to rearrange it in the form

y = mx  + c in order for us to ascertain the gradient.

y -3 = 4x + 8

y = 4x + 8 + 3

y = 4x + 11

Therefore, m1 = 4 while m2 = -1/4

The coordinate of the line = (-2, 6) . We now use this to find the value of c.

6 = -1/4 x -2 + c

6 = 1/2 + c

multiply by 2

12 = 1 + 2c

12 - 1 = 2c

11 = 2c

c = 11/2

now to find the equation of the second line

y = -x/4 + 11/2

now multiply through by 4

4y = -x + 22

4y + x - 22 = 0 is the required equation

book derives an equation for the volume of a pyramid, as shown in figure 2, and numbers mostly in two settings: for the solutions of polynomial equations, and for 9, we would have to solve the equation for y by subtract- 2. the point (1,. 2) is the center of the circle whose equation is x2 y2. 2x. 4y p.w.c. davies.

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right