Question

find the slope m and the y - intercept b of the line whose equation is given. 5x - y = 3 the slope is \boxed{}.

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. We start with the equation \(5x - y=3\). We want to solve for \(y\) in terms of \(x\).
Subtract \(5x\) from both sides of the equation: \(-y=- 5x + 3\).
Multiply both sides by \(- 1\) to get \(y = 5x-3\).

Step2: Identify the slope

In the slope - intercept form \(y=mx + b\), the coefficient of \(x\) is the slope \(m\). For the equation \(y = 5x-3\), the coefficient of \(x\) is \(5\). So the slope \(m = 5\).

Answer:

The slope is \(5\).