Carson drew a line perpendicular to the x axis through (7,3) which option shows its equation and slope
perpendicular to x axis? Slope has to be infinity.
equation? x=7
P1(7, 0), P2(7, 3).
slope = (3-0)/(7-7) = 3/0 which is undefined.
To determine the equation and slope of a line perpendicular to the x-axis passing through a given point (7,3), we need to understand that a line perpendicular to the x-axis is a vertical line.
A vertical line has an equation of the form x = a, where 'a' represents the x-coordinate of the point through which it passes. In this case, since the line passes through the point (7,3), the equation of the line is x = 7.
The slope of a vertical line is undefined because the line does not have a change in y-coordinate. It goes straight up and down, parallel to the y-axis. Therefore, the slope is undefined.
In summary, the equation of the line Carson drew, which is perpendicular to the x-axis and passes through the point (7,3), is x = 7. The slope of this line is undefined.