Question

4.3 forms of linear equation quiz

determine the slope of the line: (y = x - 5)

Explanation:

Identify the given equation

Using the Linear Equations knowledge point

$$ y = x - 5 $$

Compare with slope-intercept form

The standard slope-intercept form of a linear equation is:

$$ y = mx + b $$

where \(m\) represents the slope and \(b\) represents the y-intercept.

Determine the slope

Rewrite the given equation to explicitly show the coefficient of \(x\):

$$ y = 1x - 5 $$

Comparing this to \(y = mx + b\), we find:

$$ m = 1 $$

Answer:

\(1\)