Can someone explain this to me please?
Write the equation of the line with x-intercept (–9, 0) and undefined slope.
Here are my options for answers:
A) y = –9
B) x = –9
C) y = –9x
D) x = 0
Would this be x=-9
Yes.
To find the equation of the line with the given x-intercept and undefined slope, we need to understand what it means for a slope to be undefined.
The slope of a line is typically represented as "m" in the equation y = mx + b, where m is the slope. In general, the slope represents the rate at which the line rises (or falls) vertically for each unit increase in the horizontal direction.
In the case of an undefined slope, it means that the line is vertical and parallel to the y-axis. This occurs when the line is a vertical line, and there is no change in the x-coordinate. Since the x-coordinate remains constant along the entire line, we can define it by setting x equal to the x-coordinate of any point on the line, in this case, x = -9.
Therefore, the correct option for the equation of the line with an x-intercept of (-9,0) and an undefined slope is:
B) x = -9
This equation states that for any y-value on the line, the x-value will always be -9.