The equation of a line of the slope-intersection form is given by:
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where:
m: It's the slope
b: It is the cut-off point with the y axis
If two lines are parallel then their slopes are equal.
We have the following line:
![10x + 2y = -2\\2y = -10x-2\\y = -5x-1](https://tex.z-dn.net/?f=10x%20%2B%202y%20%3D%20-2%5C%5C2y%20%3D%20-10x-2%5C%5Cy%20%3D%20-5x-1)
Thus, the slope of the line is -5.
Therefore a parallel line is of the form:
![y = -5x + b](https://tex.z-dn.net/?f=y%20%3D%20-5x%20%2B%20b)
We replace the point ![(0,12)](https://tex.z-dn.net/?f=%280%2C12%29)
![12 = -5 (0) + b\\12 = b](https://tex.z-dn.net/?f=12%20%3D%20-5%20%280%29%20%2B%20b%5C%5C12%20%3D%20b)
Finally, the equation is of the form:
![y = -5x + 12](https://tex.z-dn.net/?f=y%20%3D%20-5x%20%2B%2012)
Answer:
![5x + y = 12](https://tex.z-dn.net/?f=5x%20%2B%20y%20%3D%2012)
Answer:
6 feet
Step-by-step explanation:
Volume = w × h × l
120 = 4 × 5 × l
l = 120 / 20
l = 6 ft
Answer:
See attachment
Step-by-step explanation:
You can obtain any two points on the graph of
and use it to draw its graph.
When x=0, ![y=-73*0+2=2](https://tex.z-dn.net/?f=y%3D-73%2A0%2B2%3D2)
So you plot (0,2)
When x=1, ![y=-73*1+2=-71](https://tex.z-dn.net/?f=y%3D-73%2A1%2B2%3D-71)
You again plot (1,-71).
With a straight edge you can now draw a straight line through the two points.
See attachment
The first step to finding the equation of a line when 2 points are known....
the first step would be to use the slope formula to find the slope of the line
Step-by-step explanation:
Given
f(x) = 8x - 9
Then
For a.
f(3y - 1 ) = 8(3y - 1 ) - 9
= 24y - 8 - 9
= 24y - 17
Now for b.
f(x) = - 23
or, 8x - 9 = - 23
8x = - 23 + 9
8x = - 14
x = - 14 / 8
x = - 7 / 4
Hope it will help :)