Write an equation for the line that passes through (-9,7) and whose slope is undefined.Write the equation in the standard form where all coefficients are expressed as relatively prime integers.
To find the equation of a line with an undefined slope that passes through a given point, we can use the fact that a line with an undefined slope is a vertical line.
A vertical line has the equation of the form x = c, where c is the x-coordinate of any point on the line.
In this case, the line passes through the point (-9, 7), so the equation would be x = -9.
However, the given standard form of an equation for a line has the form Ax + By = C, where A, B, and C are relatively prime integers.
To convert the equation x = -9 into the standard form, we can multiply both sides of the equation by a common denominator, which cancels out the fraction, giving us:
1 * x = -9 * 1
Simplifying this equation, we have:
x = -9
Which can be written in the standard form as:
1x + 0y = -9
So, the equation for the line that passes through (-9, 7) with an undefined slope in standard form is:
x + 0y = -9
undefined slope means a vertical line. That is, the line x=k for some k.
So, what do you think that is here?