Write the equation of the line with x-intercept (–6, 0) and undefined slope.
would this be wrote as
0=k*-6
I would write it as y= k(x-6)
an undefined slope means that the line is vertical, there is no y term in your equation, since you are not "describing" the y value.
all you have to "describe" is the x value, so it would simply be x = -6
similarly a horizontal line would say y = b, where b is a constant.
Reiny,
Can you explain this in greater detail?
I so not understand.
Sure, I can explain this in greater detail.
When we say that a line has an undefined slope, it means that the line is vertical. In a vertical line, the change in y is infinite while the change in x is 0. This is because the line goes straight up and down with no horizontal movement.
To find the equation of a line, we need two pieces of information - the slope and a point on the line. In this case, we are given the x-intercept of (-6, 0), which means that the line passes through the point (-6, 0) on the x-axis.
Since the slope is undefined, we cannot use the standard slope-intercept form (y = mx + b) of a line. Instead, we use the vertical line equation form, which is simply x = a, where 'a' is the x-coordinate of any point on the line.
Therefore, the equation of the line with an x-intercept of (-6, 0) and an undefined slope is x = -6.
I hope this explanation clarifies things for you. Let me know if you have any further questions!