How do you write the standard form of a line given (-2,-6) and slope: undefined?

An undefined slope indicates that we have a vertical line parallel to the y-axis and passing through all points in the plane with an x-coordinate = constant ( c) The equation is written in the form x = c.

In this case the line passes through (-2 ,-6) and therefore the constant is the value of the x-coordinate. That is - 2.

Hence the equation of the line is x = - 2 graph{y-1000x-2000=0 [-10, 10, -5, 5]}

The standard form of a line is Ax + By = C, where A, B, and C are integers, and A is positive. To write the standard form given a point (-2,-6) and an undefined slope, first use the point-slope form: y - y₁ = m(x - x₁). Then substitute the given values into the equation and rearrange it into the standard form. Since the slope is undefined, it means the line is vertical, so the x-coordinate of every point on the line will be the same. Therefore, the equation will be x = -2.