How would I write an equation of a line with an undefined slope that passes through (-3,-6)?
undefined slope means the line is vertical
the equation is of the form ... x = ?
to have an undefined slope, the line must be a vertical line.
A vertical line has the form x = c, where c is a constant
look at our point, its x value is -3
so the equation of your line is x = -3
the equation is X= -3 hence the form of undefined equations is x=c
To write the equation of a line with an undefined slope that passes through a given point, you need to understand that a line with an undefined slope is a vertical line. A vertical line is always parallel to the y-axis and does not have a defined slope because its rise (vertical change) is infinite while its run (horizontal change) is zero.
In this case, the point (-3, -6) given lies on the vertical line. To find the equation of the line, we need to recognize that for any point on a vertical line, the x-coordinate remains constant, while the y-coordinate can vary.
Since the x-coordinate is -3 for this particular point, the equation for the line passing through (-3, -6) can be written as:
x = -3
That's it! The equation x = -3 represents a vertical line with an undefined slope passing through the point (-3, -6).