Final answer:
To rewrite the equations in slope-intercept form, we solve for y. Line 1 cannot be written in slope-intercept form since it has no y term. Line 2 is already in slope-intercept form. Line 2 represents a horizontal line and is perpendicular to a vertical line. Line 1 does not represent a line.
Step-by-step explanation:
To rewrite the given equations in slope-intercept form, we need to solve for y.
Equation 1: x = -7
As there is no y term in this equation, it cannot be written in slope-intercept form.
Equation 2: y = 2
Since this equation is already in the form y = mx + b, where m represents the slope and b represents the y-intercept, it is already in slope-intercept form.
Therefore, only Equation 2, y = 2, can be written in slope-intercept form.
Now, let's determine whether the lines represented by these equations are perpendicular.
As Equation 1, x = -7, does not represent a line, we cannot determine whether it is perpendicular to another line.
Equation 2, y = 2, represents a horizontal line with a slope of 0.
A line is perpendicular to another line if their slopes are negative reciprocals of each other. Since the slope of Equation 2 is 0, it can only be perpendicular to a vertical line with an undefined slope.
Therefore, Equation 2, y = 2, is perpendicular to a vertical line, while Equation 1 does not represent a line.