Graphing Lines by Slope-Intercept
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More Lessons for Grade 7
Math Worksheets
Videos, worksheets, and solutions to help Grade 7 students learn how to graph lines using the slope-intercept method.
The Slope-Intercept Equation
The equation y = mx + b is called the slope-intercept form of a line.
The equation represents a line where m = slope and b = y-intercept (0, b)
The following diagrams show how to graph a line using the slope-intercept method. Scroll down the page for more examples and solutions.
Coordinate Geometry Worksheets
Practice your skills with the following worksheets:
Printable & Online Coordinate Geometry Worksheets
How to graph the equation?
The slope-intercept form of a linear equation is:
y = mx + b
where:
m = slope (steepness and direction of the line)
b = y-intercept (where the line crosses the y-axis)
-
Identify the Slope (m) and Y-Intercept (b)
Given an equation like:
y = 2x − 3
Slope (m) = 2
Y-intercept (b) = -3 -
Plot the Y-Intercept
Start at the y-intercept (0,b) on the y-axis.
For y = 2x − 3, plot the point (0,−3). -
Use the Slope to Find a Second Point
Slope = Rise/Run
Rise = Vertical change (up/down)
Run = Horizontal change (left/right)
For m = 2 = 2/1
From (0,−3), move up 2 units (rise = +2).
Move right 1 unit (run = +1).
New point: (1,−1).
Plot the point (1,-1) -
Draw a line to connect the two points and extend the line in both directions.
How to graph a linear equation given in slope intercept form?
Examples:
Identify the slope and y-intercept. Graph.
a) y = -2/3 x + 1
b) y = 5x - 2
c) y = x
d) 3x - 2y = 8
How to graph a line in slope intercept form with a negative fractional slope and a negative y-intercept?
Example:
Graph using slope-intercept form
y = -2/3 x - 5
How to graph a line in slope intercept form with a negative integer slope and a positive integer y-intercept?
Example:
Graph using slope-intercept form
y = -2x + 5
How to graph a line in slope intercept form with a positive integer slope and a negative y-intercept?
Example:
Graph using slope-intercept form
y = 3x - 2
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