Question

find the slope and the y-intercept of the line.
y = 2x - 5
slope:
y -intercept:

Explanation:

Step1: Recall 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.

Step2: Identify slope and \(y\) - intercept from the given equation

For the equation \(y=2x - 5\), comparing it with \(y = mx + b\):

• The coefficient of \(x\) is \(2\), so the slope \(m = 2\).
• The constant term is \(- 5\), so the \(y\) - intercept \(b=-5\).

Answer:

slope: \(2\)
\(y\) - intercept: \(-5\)