correct

Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.

(2,-3) and (2,4)

this is what i did for it.

m= (4-(-3))/(2-2)=(7)/(0)= slope is undefined which means that the line is vertical and parallel to y-axis with a distance of 2 from it.

equation would be: x = 2

5x - 9y = 45

To find the equation of the line passing through the points (2, -3) and (2, 4), you correctly determined that the slope is undefined. This means that the line is vertical and parallel to the y-axis.

When a line is parallel to the y-axis, the equation is in the form x = [x-value]. In this case, since the x-value is 2, the equation of the line is x = 2. This means that for every y-value, the x-value will always be 2.

In conclusion, the equation of the line passing through the points (2, -3) and (2, 4) is x = 2.