Question

What are the options for the graph of y = x-5?

A) A straight line passing through the point (0, -5) with a slope of 1.
B) A straight line passing through the point (0, -5) with a slope of -1.
C) A straight line passing through the point (0, -5) with a slope of 0.
D) A curved line passing through the point (0, -5).

Answer 1

The equation y = x - 5 represents a straight line with a y-intercept at (0, -5) and a positive slope of 1, which corresponds to option A.

Step-by-step explanation:

The equation provided, y = x - 5, represents a line in slope-intercept form, which indicates that the graph of the given equation is a straight line. The slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept. In this case, the coefficient of x, which is 1, represents the slope of the line, and the constant term, -5, represents the y-intercept. Therefore, the correct option is A) A straight line passing through the point (0, -5) with a slope of 1. This characterizes a line that moves upward to the right as we move along the line from left to right because it has a positive slope. The point (0, -5) indicates that the line crosses the y-axis at -5.