Indira makes a graph to show how many pages of her graphic novel she can illustrate each day.

a. What is the constant of proportionality for the relationship between
pages and days?

b. Write an equation to show the relationship between pages and days.

a). k = 0.75

b). y = 0.75x

Step-by-step explanation:

a). Graph is showing the relation between number of pages (P) illustrated by Indira and number of days taken (D).

   P ∝ D

   P = kD

   Where 'k' is the proportionality constant.

   k =

  From the graph attached,

  For a point with ordered pair (2, 1.5),

  k =

  k = 0.75

b). Equation representing the relation between number of pages and number of days will be,

  P = 0.75D

  y = 0.75x

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