Answer:
(0, 3)
Step-by-step explanation:
1. Find the slope:
![\frac{y_{2} -y_{1} }{x_{2}-x_{1} } =\frac{0-(-3)}{-4-(-8)}\\ \\=\frac{3}{4}](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D%20%3D%5Cfrac%7B0-%28-3%29%7D%7B-4-%28-8%29%7D%5C%5C%20%5C%5C%3D%5Cfrac%7B3%7D%7B4%7D)
2. Calculate the y-intercept using a given point:
(-8, -3)
-3 =
+ b
-3 = -6 + b
-3+6 = -6+6 + b
3 = b
3. Write in slope intercept form:
![y= \frac{3}{4} x+3](https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B3%7D%7B4%7D%20x%2B3)
Therefore, the y-intercept is 3.
The graph for this table is shown below.
hope this helps :)
Answer:
2(5y+3)
Step-by-step explanation:
10y+6
Factor out 2
2*5y + 2*3
2(5y+3)
Answer:
4900
Square Root of 30: 5.47722557505- round it up
Step-by-step explanation:
70x70
7x7=49
add the 2 zeros at the end
4900
Answer:
16
Step-by-step explanation:
Answer:
The missing value is 2
Step-by-step explanation:
A direct variation satisfies the equation
.
Since the point (-18, 12) lies on this line, it must satisfy this equation.
![\implies 12=-18k](https://tex.z-dn.net/?f=%5Cimplies%2012%3D-18k)
![k=-\frac{12}{18} =-\frac{2}{3}](https://tex.z-dn.net/?f=k%3D-%5Cfrac%7B12%7D%7B18%7D%20%3D-%5Cfrac%7B2%7D%7B3%7D)
Hence the equation of this line is ![y=-\frac{2}{3}x](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B2%7D%7B3%7Dx)
Now we substitute x=-3 to find y.
![y=-\frac{2}{3}*-3=2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B2%7D%7B3%7D%2A-3%3D2)
Therefore the missing value is 2