7. What is the next fraction in each of the following patterns?
a. 1/40,4/40, 9/40, 16/40, 25/40..?.
b. 3/101,4/101,7/101, 11/101, 18/101, 29/101...?
c. 5/1 ,10/2, 9/2, 18/4, 17/8, 34/32, 33/256...?

answer: the answer is e

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

the correct option is b

step-by-step explanation: