Y=mx+b where m=slope=(dy/dx) and b=y-intercept (value of y when x=0)
You have two points...(1,-2),(3,2) so
m=(y2-y1)/(x2-x1)=(2--2)/(3-1)
m=4/2=2 now that you have the slope...
y=2x+b, you can use either point to solve for the y-intercept, I'll use (3,2)
2=2(3)+b
2=6+b
b=-4 so the line is:
y=2x-4
Answer:
Luca bought 2 steaks and 4 watermelons.
Step-by-step explanation:
During the sale, steaks sold for $4 and watermelon sold for $3.50.
Let the number of steaks Luca bought be represented as x and the number of watermelons Luca bought be represented as y.
Luca spent $22 in total.
That means that the number of steaks that Luca bought multiplied by the price of each steaks plus the number of watermelons that Luca bought multiplied by the price of each watermelon will give $22.
In other words:
(4 * x) + (3.5 * y) = 22__________________(1)
Luca bought a total of 6 steaks and watermelons. This means that:
x + y = 6____________________________(2)
We have two simultaneous equations.
4x + 3.5y = 22 ___________(1)
x + y = 6 _______________(2)
From (2):
x = 6 - y
Putting this back in (1):
4(6 - y) + 3.5y = 22
24 - 4y + 3.5y = 22
24 - 0.5y = 22
=> 24 - 22 = 0.5y
2 = 0.5y
=> y = 2/0.5 = 4
Hence:
x = 6 - 4 = 2
Luca bought 2 steaks and 4 watermelons.
Answer:
4 weeks
Step-by-step explanation:
15 x 8 = 120, so Troy bikes 120 miles each day
3360/120 = 28 days or 4 weeks
