HELP 3RD GRADE MATH!!!

Find the slope of the line by using the formula $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Then use the slope-intercept form of the equation y = m x + b
To find the value of b substitute x and y of the equation by the coordinates of one of the two given points

∵ Points (-2 , -4) and (-3 , -3) lie on the line

∴ $x_{1}$ = -2 and $x_{2}$ = -3

∴ $y_{1}$ = -4 and $y_{2}$ = -3

- Substitute these values in the formula of the slope

∵ $m=\frac{-3-(-4)}{-3-(-2)}=\frac{-3+4}{-3+2}=\frac{1}{-1}$

∴ m = -1

∵ The form of the equation is y = m x + b

∵ m = -1

∴ y = (-1) x + b

∴ y = -x + b

To find b substitute x and y in the equation by the coordinates of

point (-2 , -4) OR (-3 , -3)

∵ x = -3 and y = -3

∴ -3 = -(-3) + b

∴ -3 = 3 + b

- Subtract 3 from both sides

∴ -6 = b

∴ The equation is y = -x + (-6)

∴ y = -x - 6

The linear equation is y = -x - 6

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4 0

3 years ago

Gunther invested $10,000 in two mutual funds. One of the funds rose 6% in one year and the other rose 9% in one year. If his inv

mote1985 [20]

Answer:

$7200 in the fund rose 6% n $2800 in the fund rose 9%

Step-by-step explanation:

let x be the amount in the fund rose 6%

gain in one year=x*6%=0.06x

total amount is 10000

so amount in the fund rose 9% = 10000-x

gain in one year=(10000-x)*9%=900-0.09x

total gain=0.06x+900-0.09x=900-0.03x

=684

900-684=0.03x

0.03x=216

x=7200

the other fund amount=10000-7200=2800

5 0

2 years ago

Read 2 more answers

You can rent a ski boat for $20 plus $35 per hour. If you want to spend no more than $150, how many hours can you rent a ski boa

elena-s [515]

Answer:

h ≤ (approx) 3.7

Step-by-step explanation:

To start, we can take our knowledge that we have to spend 20$, at minimum. Therefore, we can only allocate (150-20)=130 to our payment per hour. As we pay 35$ per hour, the amount of money relative to hours would be 35*h. Therefore, as we can allocate 130 dollars or less for our hourly payments, and our money is 35*h, we can day that 35*h(the money we spend on hourly rates) ≤ 130. Then, as 35*h ≤ 130, we can divide 35 from both sides to get h ≤ 130/35, or h ≤ (approx) 3.7

3 0

3 years ago