Question

In the given representation:

ms
x-intercept
Equation of Line:
x=7
Im=
Ima=
∥
∥ line
I line
What does "x = 7" represent in the context of the equation of the line?
a) The slope of the line
b) The y-intercept of the line
c) The x-intercept of the line
d) The equation of the line's perpendicular bisector

Answer 1

The equation 'x = 7' represents a vertical line that intersects the x-axis at (7, 0), which makes it the x-intercept of the line.

Step-by-step explanation:

The equation x = 7 represents a vertical line that intersects the x-axis at the point (7, 0). Therefore, in the context of the equation of a line, 'x = 7' is not the slope of the line nor is it the y-intercept. Instead, it indicates the specific location at which the line crosses the x-axis, thus, it is the x-intercept of the line. As it only defines a vertical line at a particular x-value, it cannot be the equation of a line's perpendicular bisector unless the original line is horizontal.

In general, the slope-intercept form of the equation of a straight line is y = mx + b, where m is the slope and b is the y-intercept. The m term represents the rate of change, while the b term tells us where the line crosses the y-axis.