Need help with this. Write an equation that is parallel to the line whose equation is y = −8x − 7? An equation of the line that has a slope of 3
and a y-intercept of -2 is

Problem 4: y = -8x+b

Problem 5: C: 3x-2

Step-by-step explanation:

Problem 4:

The given line is in slope intercept form.

The slope-intercept form is:

Here the co-efficient of x is the slope of the line. Comparing the given equation with general form

m = -8

Two parallel lines have same slope so the slope of line will be -8.

b can be any positive or negative integer as we don't know any point on the line parallel to given line.

Problem 5:

Slope = 3

y-intercept = -2

Slope intercept of line is given by:

here m is slope and b is y-intercept

Putting the values

Option C: y=3x-2 is the correct answer

Hence,

Problem 4: y = -8x+b

Problem 5: C: 3x-2

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47