Directions: Convert the following equations from standard form to slope-intercept form. 10. 6x + 2y = 10
11. x + 2y = 4
Gina Wilson (All Things Algebra" LLC], 2012-2017
12. x + y = -3
13. -2x + 3y = -6

in order

y = -3x + 5

y = 1/2(x) + 2

y = -x - 3

y = 2/3(x) - 2

Step-by-step explanation:

slope-intercept form is y= mx + b

10. 6x + 2y = 10

2y = -6x + 10, subtract 6x from both sides

y= -3x + 5, divide both sides by 2

11. x + 2y = 4

2y = x + 4, subtract x from both sides

y = 1/2(x) + 2, divide both sides by 2

12. x + y = -3

y = -x - 3, subtract x from both sides

13. -2x + 3y = -6

3y = 2x - 6, add 2x to each side

y = 2/3(x) - 2, divide both sides by 3

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