Find an equation of the line containing the given pair of points (4,1) and (12,7)
1 answer:
Answer:
Y = 3/4 X -2
Step-by-step explanation:
Just apply the equation of a straight line (Y=mX+C), remembering that m represents the gradient of the line. This can be found by dividing the change in the y-axis by the change in the x-axis. Then substitute a set of coordinates with your obtained gradient into Y=mX+C to obtain C, i.e. the y-intercept.
You might be interested in
The sequence can be represented by , where
is a whole number(
and
is an integer). By this, we should be able to plug in some whole number x and be able to get these values if they are in the sequence. To test this, let's set these numbers equal to
and confirm that there is a whole number x which equals the values selected.
When trying 160 with our equation, we find that x doesn't equal a whole number, thus our answer is C, or 160. To confirm our answer, we can test 170 and 210 and confirm that they both give us a value for x which is a whole number.
Answer:
The cost of 1 blueberry is $7
The cost of 1 lemon pie is $17
Step-by-step explanation:
Given as :
The number of blueberry sold by Chelsea = 7
The number of lemon pie sold by Chelsea = 10
The number of blueberry sold by Ming = 5
The number of lemon pie sold by Ming = 1
The total selling amount of Chelsea = $219
The total selling amount of Ming = $52
Let The cost of 1 blueberry = b
And The cost of 1 lemon pie = l
Now, According to question
<u>For Chelsea</u>
7 b + 10 l = $219 ..................1
<u>For Ming</u>
5 b + 1 l = $52 .................2
Solving both equations
10×(5 b + 1 l ) - (7 b + 10 l) = 10×52 - 219
Or, 50 b + 10 l - 7 b - 10 l = 520 - 219
Or, (50 b - 7 b) + (10 l - 10 l) = 301
Or, 50 b - 7 b+ 0 = 301
Or, 43 b = 301
∴ b =
I.e b = $7
So, The cost of 1 blueberry = b = $7
Put the value of b in eq 2
So, 5 × 7 + 1 l = $52
or, 35 + l = $ 52
Or, l = 52 - 35
∴ l = $17
So, The cost of 1 lemon pie = l = $17
Hence The cost of 1 blueberry is $7
And The cost of 1 lemon pie is $17 Answer