Rana and Mona both make jewelry and sell it on an international website. Rana's net profit for a particular type of earrings is represented by the equation
y = 55x – 400, where y is the profit in dollars, and x is the number of pairs of
earrings she sells.
Pairs of Profit
Earrings Sold in dollars)
9
40
220
17
520
12
Mona's revenue for a similar type of earrings is represented by the given table.
Who makes the most profit from selling 15 pairs of earrings?
Step 1 of 3
Choose any two points from the table for Mona's profit.
What is the slope of the line through the points?
Enter your answer as a number, like this: 42

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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