There is no change in the x value between the two points. The line is x=12 by inspection of the given data. There's no work to show.
Can You Write The Equation Of The Line That Passes Through The Points (12, 6) And (12,-4). Show All Your Work For Credit?
You can also solve this using algebra and the following formulas:
Y = mx + b (where m is the slope of the line, and b is the y intercept)
m = (y1 - y2) / (x1 - x2) (equation for finding the slope of a line given two points)
x = a (equation for a vertical line where 'a' is some number )
First, find the slope of the line by plugging in the two points:
M = ( 6 - (-4) ) / ( 12 - 12)
m = 10 / 0
m is undefined (cannot divide by zero)
This tells us that the line is a vertical line. A vertical line has an undefined slope. Thus, we need to use the equation for a vertical line. Plug in the point (12, 6) into the equation:
X = a (a is some number)
12 = a
Now we know the value of 'a'. So, we can write the equation for the line:
Y = mx + b (where m is the slope of the line, and b is the y intercept)
m = (y1 - y2) / (x1 - x2) (equation for finding the slope of a line given two points)
x = a (equation for a vertical line where 'a' is some number )
First, find the slope of the line by plugging in the two points:
M = ( 6 - (-4) ) / ( 12 - 12)
m = 10 / 0
m is undefined (cannot divide by zero)
This tells us that the line is a vertical line. A vertical line has an undefined slope. Thus, we need to use the equation for a vertical line. Plug in the point (12, 6) into the equation:
X = a (a is some number)
12 = a
Now we know the value of 'a'. So, we can write the equation for the line:
