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

Solution:

Given equation y = x - 3

The given equation resembles the standard equation of slope-intercept form y = mx + c, where m is the slope and c is the intercept

The slope of a line is a number that measures its "steepness", usually denoted by the letter m. It is the change in y for a unit change in x.

By comparing, we can say that m = 1 and c = -3

So, ‘1’ is the slope.

Hence, the slope of the line of the given equation is ‘1’.

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

Summary:

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