y = -3/5(x-3)
y= (-3/5) x + 9/5
Step-by-step explanation:
Step 1 :
The equation of line in point and slope form is (y- y intercept) = m(x-x intercept)
Where m represents the slope and x1 and y1 are points on the line.
Given (-2,3) and (3,0) are points on the line
m = (y2-y1)/(x2-x1) = (0-3)/(3-(-2)) = -3/5
So the equation of the line in point slope form is
(y-0)= -3/5(x-3) = y = -3/5(x-3) [taking the point as (3,0)]
Step 2 :
The equation of a line in slope and intercept form is y = m x +c
m denotes the slope and the constant c denotes the y intercept (the value of intercept in the y axis when x = 0)
when x = 0, y = 9/5 [using the equation in step 1]
Hence the equation in slope and intercept form is
y= (-3/5) x + 9/5
Answer:
y + 9 = 6(x - 4)
Step-by-step explanation:
It would be 6 and 1 cause:
6 × 1 = 6
6 + 1 = 7
Hope that helps :D
Answer:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Step-by-step explanation:
Let the amount in the savings account with 11% interest =x
She has $300 more in the 14% account.
Therefore amount saved at 14%=x+300
Simple Interest= Principal X (Rate/100) X Time
Since, the time is not given, we assume an annual interest.
Therefore, Time =1 Year
Total Interest = $110
Now, our total interest will be a sum of the interest earned at 11% and the interest earned at 14%.
![110=(x*0.11*1)+[(x+300)*0.14*1]\\110=0.11x+0.14x+42\\110=0.25x+42\\\text{Subtract 42 from both sides}\\110-42=0.25x+42-42\\68=0.25x\\\text{Divide both sides by 0.25 to obtain x}\\\frac{68}{0.25} =\frac{0.25x}{0.25} \\x=\$272](https://tex.z-dn.net/?f=110%3D%28x%2A0.11%2A1%29%2B%5B%28x%2B300%29%2A0.14%2A1%5D%5C%5C110%3D0.11x%2B0.14x%2B42%5C%5C110%3D0.25x%2B42%5C%5C%5Ctext%7BSubtract%2042%20from%20both%20sides%7D%5C%5C110-42%3D0.25x%2B42-42%5C%5C68%3D0.25x%5C%5C%5Ctext%7BDivide%20both%20sides%20by%200.25%20to%20obtain%20x%7D%5C%5C%5Cfrac%7B68%7D%7B0.25%7D%20%3D%5Cfrac%7B0.25x%7D%7B0.25%7D%20%5C%5Cx%3D%5C%24272)
Therefore:
- $272 was invested in the savings account at 11%
- $572 was invested in the savings account at 14%
Cheers!
Answer:
(-6,-4)
Step-by-step explanation: