A line passes through the point ,( 2,−1 ) and has a slope of 5/2. Write an equation in point-slope form for this line.

y  =   x - 6

Step-by-step explanation:

Given parameters:

        Coordinates  = (2, - 1)

   Slope of the line =

Solution:

In slope - intercept format, a line is written as:

            y  = mx + c

y and x are the coordinates

m is the slope

c is the y-intercept

        let us find the y - intercept of this line;

        - 1  =   x 2 + c

           c = -1 - 5  = -6

Equation of the line is ;

           y  =   x - 6

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get