A=6
2*6=12
12-8=4
B=6
3*6=18
18-8=10
No, according to the vertical line test
Answer:
Blue - y=-2
Red-![y=\frac{2}{3}x+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B2)
Parallel to Red-![y=\frac{2}{3}x+5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B5)
Perpendicular to Red- ![y=\frac{-3}{2}x+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%7D%7B2%7Dx%2B2)
Step-by-step explanation:
The slope intercept of a line is y=mx +b where
- m is the slope which is calculated as the vertical distance divided by the horizontal distance between two points.
- b is the y-intercept for value on the y-axis for which the line crosses it.
The Blue line intercepts the y-axis at -2 so b=-2. It has no vertical change since it is a horizontal line. This means the slope, m, is 0. m=0. It's equation is y=0x-2
y=0-2 since anything times 0 is 0.
y=-2.
The red line intercepts the y-axis at 2 so b=2. It intercepts the x-axis at (-3,0). Between these two intercepts we can find the slope:
Slope:
We substitute
and
The red line has equation
.
Parallel lines have the same slope with a different y-intercept. So we write a line where m=2/3 and b is something else.
![y=\frac{2}{3}x+5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2%7D%7B3%7Dx%2B5)
Perpendicular lines have a negative reciprocal slope to the original. So we write the line where m/-3/2.
![y=\frac{-3}{2}x+2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-3%7D%7B2%7Dx%2B2)
Answer:
x = 8 x = 2
Step-by-step explanation:
1+3|x-5|=10
Subtract 1 from each side
1-1+3|x-5|=10-1
3|x-5|=9
Divide by 3
3/3|x-5|=9/3
|x-5|=3
There is a positive and negative solutions
x-5 =3 x-5 = -3
Add 5 to each side
x-5+5 = 3+5 x-5+5 = -3+5
x = 8 x = 2