choose the equation and the slope of the line that passes through (5,-3) and is perpendicular to the x-axis.

Answer:The equation is x = 5 ⇒ FThe slope is undefined ⇒ CStep-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