What is an equation of the line that passes through the point ( 1 , − 2 ) (1,−2) and is parallel to the line 6 x + y = 9 6x+y=9?

Step-by-step explanation:

(a) Slope of parallel line

Your function is

6x + y = 9

       y = -6x + 9      Subtracted 6x from each side

slope = -6

The parallel line has slope = -6.

(b) Equation for parallel line

The point-slope formula for a straight line is

   y – y₁ = m(x – x₁)

x₁ = 1; y₁ = -2; m = -6  

y – (-2) = -6(x - 1)

   y + 2 = -6x + 6

         y = -6x + 4

The equation for the parallel line is  

The graph is a straight line that passes through (1, -2) and has a slope of -6.  

it would take 7/10 of an hour too fill the pool.

step-by-step explanation:

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180