Which of the following equations defines a line that is parallel to the line begin equation . . . y equals . . . begin fraction . . . negative 4 over 3 . . . end fraction, times x . . . minus 4 . . . end equation and passes through the point begin ordered pair . . . 3 . . . comma . . . negative 1 . . . end ordered pair?

A
begin equation . . . y equals . . . begin fraction . . . negative 4 over 3 . . . end fraction, times x . . . minus 1 . . . end equation

B
begin equation . . . y equals . . . begin fraction . . . negative 4 over 3 . . . end fraction, times x . . . minus 3 . . . end equation

C
begin equation . . . y equals . . . begin fraction . . . negative 4 over 3 . . . end fraction, times x . . . plus 1 . . . end equation

D
begin equation . . . y equals . . . begin fraction . . . negative 4 over 3 . . . end fraction, times x . . . plus 3 . . . end equation

Option D

Step-by-step explanation:

step 1

we have

----> given line

we know that

If two lines are parallel, then their slopes are equal

so

The slope of the given line is

That means

The slope of the line parallel to the given line is also

step 2

Find the equation of the line in slope intercept form

where

m is the slope

b is the y-intercept

we have

substitute in the linear equation and solve for b

The linear equation is

therefore

begin equation . . . y equals . . . begin fraction . . . negative 4 over 3 . . . end fraction, times x . . . plus 3 . . . end equation

so a parallelogram is just like a square base times height. multiply 40 and 39 to get 1560 inches.

a triangle is base times height divided by two. so multiply 7.9 and 5 and then divide it by 2 to get 19.75inches.

the kite can be split into two separate triangles and added together to get the total area. 30 x 4 /2 which equals 60. make sure to double it for the two triangles making 120.

9 sandwiches per hour

step-by-step explanation:

when we have a rate, we want a 1 in the denominator

27/3 = 9

27 sandwiches/ 3 hours = 9 sandwiches/hour