The document discusses how to graph linear equations. It states that the graph of an equation is the set of all solutions, where a solution is an ordered pair that makes the equation true. It provides steps for graphing an equation, which include rewriting the equation to solve for y, making an input/output table using values for x, plotting the ordered pairs, and connecting the points with a straight line. It also discusses that the graph of y=b is a horizontal line and the graph of x=a is a vertical line. Finally, it notes that intercepts are found by plugging values into the equation - the x-intercept uses y=0 and the y-intercept uses x=0.
2. A solution to an equation is an ordered
pair (x, y) that makes the equation true.
3. A solution to an equation is an ordered
pair (x, y) that makes the equation true.
The graph of an equation is the set of
all the solutions.
4. A solution to an equation is an ordered
pair (x, y) that makes the equation true.
The graph of an equation is the set of
all the solutions.
The graph of a linear equation is a line.
7. Graphing an Equation
1. Rewrite the equation by solving for y.
2. Choose a few values for x and make
an input/output table.
8. Graphing an Equation
1. Rewrite the equation by solving for y.
2. Choose a few values for x and make
an input/output table.
3. Plot each ordered pair.
9. Graphing an Equation
1. Rewrite the equation by solving for y.
2. Choose a few values for x and make
an input/output table.
3. Plot each ordered pair.
4. Connect the points with a straight line.
10. Horizontal and Vertical lines
The graph of y = b
is a horizontal line.
“b” means any
number.
y = 2
11. Horizontal and Vertical lines
The graph of x = a is
a vertical line.
“a” means any
number.
x = - 3
12. Horizontal and Vertical lines
What is the “x” value
for any point on the
line x = -3? x = - 3
17. Finding Intercepts
To find the x-intercept of a graph, plug
in y=0 and solve for x.
To find the y-intercept of a graph, plug
in x=0 and solve for y.
