Answer:
1. Equation of line is y=2x+1
2. Equation of line is y=-4x-7
Step-by-step explanation:
Theory :
Equation of line is given as y = mx + c.
Where, m is slope and c is y intercepted.
1.
Slope of given line : y = 2x-5 is m=2.
We know that line : y = 2x-5 is parallel to equation of target line.
therefore, slope of target line will be 2.
we write equation of target line as y=2x+c
Now, It is given that target line passes through point ( 1,3 ).
hence, point ( 1,3 ) satisfy the target line's equation.
we get,
y=2x+c
3=2 1 + c
3=2+c
c=1
thus, Equation of line is y=2x+1
2.
Slope of given line : y = -4x+3 is m= -4
We know that line : y = -4x+3 is parallel to equation of target line.
therefore, slope of target line will be -4
we write equation of target line as y=-4x+c
Now, It is given that target line passes through point ( -2,1 ).
hence, point ( -2,1 ) satisfy the target line's equation.
we get,
y=-4x+c
1= -4 -2+ c
1=8+c
c=-7
thus, Equation of line is y=-4x-7
Answer:
25 pounds
Step-by-step explanation:
Let us assume that initially, 1 pound of whole chicken costs x.
So, initially 20 pounds of whole chicken costs 20x.
Now, the price is reduced by 20%.
That means that 1 pound of whole chicken now costs
Therefore, with a 0.8x amount of money, we can now purchase 1 pound of the whole chicken.
Hence, with a 20x amount of money, we can now purchase pounds of the whole chicken.
Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)
And x=5200-y
Hence, money invested at 4% is $3800 and money invested at 3% is $1400