Answer:
The equation is x = 5 ⇒ F
The slope is undefined ⇒ C
Step-by-step explanation:
* Lets talk about the slopes of the line and the relation between
the parallel lines and the perpendicular lines
- If the two lines are parallel, then their slopes are equal
- If the two lines perpendicular, then the product of their slopes = -1
that meas one of them is additive inverse and multiplicative
inverse of the other
- If the line parallel to x-axis, then all the points on that line
have the same y-coordinates (a , b) (horizontal line)
∵ The slope = (y2 - y1)/(x2 - x1)
∴ Its slope = 0 because (y2 - y1) = 0
* Its equation is y = b
- If the line parallel to y-axis, then all the points on that line
have the same x-coordinates (a , b) (vertical line)
∵ The slope = (y2 - y1)/(x2 - x1)
∴ Its slope = undefined because (x2 - x1) = 0
* Its equation is x = a
* Now look to the problem
- The line is ⊥ x-axis means it is parallel to y-axis (vertical line)
∴ Its slope = undefined
∵ It passes through point (5 , -3)
∴ Its equation is x = 5
* The equation is x = 5
* The slope is undefined
