Question

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

Explanation:

Step1: Rewrite the equation 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 \(5x - y=3\).
To solve for \(y\), we can add \(y\) to both sides of the equation and subtract 3 from both sides:
\(5x-3=y\), or \(y = 5x-3\).

Step2: Identify the y - intercept

Comparing the equation \(y = 5x-3\) with the slope - intercept form \(y=mx + b\), we can see that when \(x = 0\), \(y=b\).
In the equation \(y = 5x-3\), \(m = 5\) (which matches the given slope) and \(b=- 3\).

Answer:

The \(y\) - intercept is \(-3\).