Write an equation for the line that passes through (−8,14) and whose slope is undefined. Give an answer in standard form.
Since the slope is undefined, it means that the line is a vertical line. A vertical line passes through all points with the same x-coordinate.
Therefore, the equation for the line is simply x = -8.
In standard form, this equation can be written as 1x + 0y = -8, or simply x + 0y = -8.
To find the equation for a line with an undefined (or infinite) slope, we know that the line is vertical. A vertical line passing through a point does not have a y-intercept, so its equation is of the form "x = constant."
Since the line passes through the point (−8,14), the equation can be written as:
x = -8
So, the equation for the line with an undefined slope passing through (−8,14) is x = -8 in standard form.
To find the equation of a line with an undefined slope, we need to determine if the line is vertical or not.
A line with an undefined slope is vertical, meaning it is perpendicular to the x-axis. For a vertical line, the value of x remains constant while the value of y can take any real number.
Given that the line passes through the point (-8, 14), we know that x = -8, and any value for y would satisfy the equation.
Therefore, the equation of the line in standard form is:
x = -8