Slope intercept form is y=mx+b
m=slope
b=y intercept
slope is 4
y=4x+b
subsitute if iin (x,y) form
so x=3 and y=-2 is one solution
subsitute
-2=4 times 3+b
-2=12+b
subtract 12 from both sids
-14=b
the equation is y=4x-14
A, D, and E are true
One X on the line plot marks one time something happened. So the two x’s above the 1 means that he practiced piano for one hour (see to the right that says hours next to the numbers, so 1=1 hour) two times.
45 minutes is 3/4 of an hour, and is the mark right between 1/2 and 1. There is one x above this mark, so that means Thaddeus practiced for 45 minutes one time, so B is false
Thadeus practiced piano for 30 minutes two times, so C is false because he didn’t mostly practice for thirty minutes.
D is correct because there are 2 Xs above the 0, which means two times he practiced for zero hours, which means he didn’t practice at all.
E is correct because 15 minutes is 1/4 of an hour, so it is the mark between 0 and 1/2. We see there are three x’s there, so that means he practiced for 15 minutes 3 times.
I hope this helps! Let me know if you want me to explain it differently.
Answer:
Always
Step-by-step explanation:
we know that
If points A, B, and C lie on a line, the the sum of the length of segment AB plus the length of the segment BC is always the length of segment AC
so
AC=AB+BC
The formula is y = mx+b where m is the slope and b is the y intercept.
y = 0x + b
7 = (-6)0 + b
7 = 0 + b
b = 7
y = +7
Let us take number of $5 bills = x and
number of $10 bills = y.
Give that "number of $10 bills is twice the number of $5 bills".
So, y is twice of x,
We can setup an equation.
y= 2x ............................... equation(1)
Total value of all bills = $125.
We can setup another equation,
5*(number of $5 bills) + 10*(number of $10 bills) =125.
5(x) +10(y) = 125 ................................... equation(2)
Plugging y=2x in equation(2), we get
5(x) +10(2x) = 125 .
5x+20x = 125.
Adding like terms
25x = 125
Dividing both sides by 25.
25x /25 = 125/25
x= 5.
Plugging x=5 in first equation, we get
y= 2(5) = 10.
Therefore, number of number of $5 bills=5 bills and number of $10 bills = 10 bills.
