1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 3 = ⅓(6) + 5 -> 3 = 7, which is false.
- 6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
- -3 = ⅓(-3) + 5 -> -3 = 4, which is false.
- 3 = ⅓(-6) + 5 -> 3 = 3, which is true.
So, the answer is (4) (-6, 3)
2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:
- y - 5 = 0.75x - 1.5
- y = 0.75x + 3.5
So, we can now substitute in the coordinates of each of the options to see which point lies on the line.
- 8 = 0.75(6)+3.5 -> 8 = 8, which is true.
- 9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
- 1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
- 2 = 0.75(6) + 3.5 -> 2 = 8, which is false.
So, the answer is (1) (6, 8).

Your answer is
$130.90
Note: We multiply by 70/100 because of the 30% discount. 100 - 30 = 70. So we have to multiply by 70%.
Also, we multiply by 105/100 because there is 5% tax. The tax means that we have to pay more which means 100 + 5 = 105.
Hope this helped :D
Answer:
See below.
Step-by-step explanation:
The slope of the line is (5-1) / (3 - -3)
= 4/6 = 2/3
Point slope form:
y - y1 = m(x - x1)
Plugging in m = 2/3 and the point (-3,1):-
y - 1 = 2/3(x + 3) (answer)
Slope-intercept form:-
y - 1 = 2/3(x + 3)
y = 2/3x + 2 + 1
y = 2/3x + 3 (answer)
Standard Form:-
y = 2/3x + 3
Multiply through by 3:-
3y = 2x + 9
-2x + 3y = 9 (answer).
Answer : The 12- oz box of Honeycomb cereal for $4.32 is a better buy.
Explanation:
A 12- oz box of Honeycomb cereal for $4.32 has a unit cost of $0.36. A 16-oz box of Cheerios for $5.92 has a unit cost of $0.37. Therefore the 12-oz box of honeycomb cereal is a better buy.