A vertical line is a line that is straight up and down. It doesn't tilt. Think of a flagpole as one of many examples.
I suggest plotting the point (-0.4, 0.3) on the coordinate grid. Draw a vertical line through this point. You'll see that there are other points on this line such as...
(-0.4, 0) and (-0.4, 2) and (-0.4, 5)
and so on...
There are infinitely many points on this line. All of them have the same x coordinate of -0.4 since that's what the original point has. Y can be anything you want.
So the equation of this line is simply x = -0.4 to indicate "force x to be -0.4 and y can be whatever you want"
Answer:
y = C/8 + 2
Step-by-step explanation:
C = 8(y - 2)
C = 8y - 16
8y = C + 16
y = C/8 + 2
Answer:
(
2 , 5 ) and
(
26
/3 , 0
)
Step-by-step explanation:
Find the equation using the two points.
Use y
=
m
x
+
b to calculate the equation of the line, where m represents the slope and b represents the y-intercept.
To calculate the equation of the line, use the y
=
m
x
+
b format.
Slope is equal to the change in y over the change in x
, or rise over run.
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
![m=\frac{y_{2-y_{1} } }{x_{2-y_{1} } }](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_%7B2-y_%7B1%7D%20%7D%20%7D%7Bx_%7B2-y_%7B1%7D%20%7D%20%7D)
Substitute in the values of x and y into the equation to find the slope.
![m=\frac{0-(5)}{\frac{2}{6} -(2)}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0-%285%29%7D%7B%5Cfrac%7B2%7D%7B6%7D%20-%282%29%7D)
Multiply the numerator and denominator of the complex fraction by 3
.
Finding the slope m
.
![m=-\frac{3}{4}](https://tex.z-dn.net/?f=m%3D-%5Cfrac%7B3%7D%7B4%7D)
Find the value of b using the formula for the equation of a line.
![b=\frac{13}{2}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B13%7D%7B2%7D)
Find the x-intercepts.
To find the x-intercept(s), substitute in 0 for y and solve for x
.
![0=-\frac{3}{4}x+\frac{13}{2}](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B3%7D%7B4%7Dx%2B%5Cfrac%7B13%7D%7B2%7D)
solve the equation
![x=\frac{26}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B26%7D%7B3%7D)
x-intercept(s): ![(\frac{26}{3},0)](https://tex.z-dn.net/?f=%28%5Cfrac%7B26%7D%7B3%7D%2C0%29)
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y
.
![0=-\frac{3}{4}*0+\frac{13}{2}](https://tex.z-dn.net/?f=0%3D-%5Cfrac%7B3%7D%7B4%7D%2A0%2B%5Cfrac%7B13%7D%7B2%7D)
![y=\frac{13}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B13%7D%7B2%7D)
y-intercept(s):
Answer:
b
Step-by-step explanation:
the answer is b 137 kg .