Independent= whether or not your room is clean
Dependent= whether or not you can go to the movies
Answer:
15 pieces of string all 2 ft long
Step-by-step explanation:
12 + 18 ft = 30 ft
30 / 2 = 15
15 pieces of string
2 ft
Answer:
-9
Step-by-step explanation:
3×-2+6÷(-2)
Then multiply, add, subtract, et cetera
Answer:
![\boxed {\boxed {\sf y= \frac{1}{2}x-5 }}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20y%3D%20%5Cfrac%7B1%7D%7B2%7Dx-5%20%7D%7D)
Step-by-step explanation:
Since we are given a point and a slope, we should use the point-slope equation.
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
where <em>m</em> is the slope and (x₁, y₁) is the point the line passes through.
We are given the slope of 1/2 and the point (4, -3). Therefore:
![m= \frac{1}{2} \\x_1= 4\\y_1= -3](https://tex.z-dn.net/?f=m%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5C%5Cx_1%3D%204%5C%5Cy_1%3D%20-3)
Substitute the values into the formula.
![y--3= \frac{1}{2} (x-4)](https://tex.z-dn.net/?f=y--3%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28x-4%29)
![y+ 3= \frac{1}{2} (x-4)](https://tex.z-dn.net/?f=y%2B%203%3D%20%5Cfrac%7B1%7D%7B2%7D%20%28x-4%29)
Distribute the 1/2. Multiply each term inside the parentheses by 1/2.
![y+3= \frac{1}{2} *x + \frac{1}{2} * -4](https://tex.z-dn.net/?f=y%2B3%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2Ax%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%2A%20-4)
![y+3=\frac{1}{2}x-2](https://tex.z-dn.net/?f=y%2B3%3D%5Cfrac%7B1%7D%7B2%7Dx-2)
We want to the equation of the line in slope-intercept form or y=mx+b. We need to isolate y. 3 is being added and the inverse of addition is subtraction. Subtract 3 from both sides of the equation.
![y+3-3=\frac{1}{2}x-2-3](https://tex.z-dn.net/?f=y%2B3-3%3D%5Cfrac%7B1%7D%7B2%7Dx-2-3)
![y=\frac{1}{2}x-2-3\\y= \frac{1}{2}x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx-2-3%5C%5Cy%3D%20%5Cfrac%7B1%7D%7B2%7Dx-5)
The equation of the line is <u>y=1/2x-5</u>