Question

What is the slope of the line represented by the equation y = x – 3?

Answer 1

The slope of the line represented by the equation y = x - 3 is 1.

Step-by-step explanation:

The slope of the line represented by the equation y = x - 3 is 1. That means for every unit increase in the horizontal axis (x), there is a corresponding increase of 1 unit in the vertical axis (y). This can be seen by comparing the equation to the slope-intercept form y = mx + b, where m represents the slope.

For example, when x = 0, y = 0 - 3 = -3. When x = 1, y = 1 - 3 = -2. So the points (0, -3) and (1, -2) lie on the line.

Therefore, the slope of the line is 1.

Answer 2

the Slope of line, y = x - 3 is 1.

Step-by-step explanation:

Given equation of line, y = x - 3

To find: Slope of the line.

we have many forms of equation of line, but this resembles with slope-intercept form.

The standard form of Slop-Intercept form is given by y = m.x - c

where, m is slope of the line and c is the y-intercept of line

Therefore, By comparing given equation of line with standard form of Slope-Intercept form of line. we get,

m = 1.

So, the Slope of line, y = x - 3 is 1.