The equation of a line is y=-x-1. What is the equation of the line that is perpendicular to the first line and passes through (-4, 3)?

y= x + 7

Step-by-step explanation:

The slope of a perpendicular line in relation to the original line will be the opposite reciprocal.

The slope of the original is -1, so the perpendicular slope will be 1.

Plug in (-4, 3) into the new equation, y = 1x + b, to find the y-intercept

3 = -4 + b

7 = b, so (0, 7) is the y-intercept

The new equation is y = x + 7

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi

-1

step-by-step explanation: