Respuesta :
The formula of line slope
[tex]\boxed{\boxed{m=\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} } }}[/tex]
Given from question
(x₁, y₁) = (-2b, 2c)
(x₂, y₂) = (2b, 2c)
Solution
Plug the numbers into the formula
[tex]m=\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }[/tex]
[tex]m= \frac{2c-2c}{2b-(-2b)} [/tex]
[tex]m= \frac{2c-2c}{2b+2b} [/tex]
[tex] m= \frac{0}{4b} [/tex]
0 divided by any numbers is equal to 0
m = 0
The slope of the line is 0, the line is a horizontal line
[tex]\boxed{\boxed{m=\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} } }}[/tex]
Given from question
(x₁, y₁) = (-2b, 2c)
(x₂, y₂) = (2b, 2c)
Solution
Plug the numbers into the formula
[tex]m=\frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }[/tex]
[tex]m= \frac{2c-2c}{2b-(-2b)} [/tex]
[tex]m= \frac{2c-2c}{2b+2b} [/tex]
[tex] m= \frac{0}{4b} [/tex]
0 divided by any numbers is equal to 0
m = 0
The slope of the line is 0, the line is a horizontal line
The slope of a line passes through the points R(−2b, 2c) and A(2b, 2c) is 0 .
What is the slope of a line?
The slope of a line is the measure of the steepness and the direction of the line. The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx.
Formula of slope of a line:
m = Δy/Δx
where,
m is the slope
According to the question
The slope of a line that passes through the points R(−2b, 2c) and
A(2b, 2c).
(x1,y1) = R(−2b, 2c)
(x2,y2) = A(2b, 2c)
Δx = (x2 - x1)
= (2b -(-2b))
= 4b
Δy = (y2 - y1)
= (2c - 2c)
= 0
Now,
By using the formula of slope of a line
m = Δy/Δx
m = [tex]\frac{0}{4b}[/tex]
m = 0
This means line is horizontal .
Hence, The slope of a line passes through the points R(−2b, 2c) and A(2b, 2c) is 0 .
To know more about slope of a line here:
https://brainly.com/question/14511992
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