Notes
Name: __________________________________
Pre-Algebra
Date: ____________________Period: ________
13.4 – Slope-Intercept Form
I. Linear Equations
A. Vocabulary

__________________________ means “related to lines”.

A _______________________

There are three main forms in which you can write linear equations. You only need to know slopeintercept form for now.
_______________________ is any equation whose graph is a line.
Slope-Intercept Form

The slope-intercept form of a linear equation is:
y = mx + b
***In order for you to identify the slopemand
y-intercept
forline
the problems below, you need
= slope
of the
to make sure the linear equation is written in slope-intercept form: y = mx + b. If it’s not,
change it so that it is!
b = the y-intercept
Examples
x & y = the x-coordinate and y-coordinate of a point (x,y) on the line
Directions: Identify the slope and the y-intercept of each linear equation.
Ex) y = -2x + 1
Ex) y = x – 4
m = ________
b = _________
m = _________
b = __________
Ex) y =
1
x+3
2
m = _________
b = __________
3
5
Ex) y = x – 7
m = _________
b =__________
Ex) y = 11x
Ex) y = -x
Ex) y = -4
Ex) y = 0
m = ________
b = _________
m = _________
b = __________
m = _________
b = __________
m = _________
b =__________
III. Y-Intercept
A. Vocabulary



You can find the ____________________ where a line crosses the __________________.
The ____________________ is the y-coordinate of the point where the line crosses the y-axis.
We represent the y-intercept using the letter _______________.
Observations about the Y-Intercept

The x-coordinate of the point with the y-intercept is always _______________.

When you are graphing a line using the y-intercept, you should start off by looking for a
point in the form: __________________.
Examples:
Directions: Identify the y-intercept of the line.
Ex)
b = ___________________________
Ex)
b = ______________________