Name:
Ms. D’Amato
Date:
Block:
Graph Using X and Y Intercepts
Graph the equation using slope-intercept form:
4x + 2y = 8
m=
b=
Domain:
Range:
Type of Slope:
Where does the line cross the x-axis?
the y-axis?
The equation 4x + 2y = 8 is written a special way. The x and y terms are on one side, the
number is on the other side. This special form is called
.
Ax + By = C
Standard form makes it easy to find the x and y intercepts of a line. An x-intercept of a graph
is the
of a point where the graph crosses the
. A yintercept of a graph is the
of a point where the graph crosses the
.
To find the x and y intercepts of a graph, the equation must be in standard form and we will use
the “Cover Up” method.
a. 3x + 2y = 6
b. 4x – 2y = 10
c. -3x + 5y = -15
x-intercept:
y-intercept:
x-intercept:
y-intercept:
x-intercept:
y-intercept:
Why do we use the cover up method? When looking for the x-intercept of a linear function, the
y-coordinate is
. When looking for the y-intercept of a linear function, the xcoordinate is
. Knowing the x and y intercepts gives us another way to graph a
linear equation!!
Example 1: 4x + 2y = 8
x-intercept:
y-intercept:
Example 2: x + 2y = 4
x-intercept:
y-intercept:
You try!!
1.) x + 3y = 6
x-intercept:
y-intercept:
2.) x – y = -3
x-intercept:
y-intercept:
3.) -2x + 5y = -10
x-intercept:
y-intercept:
4.) 4x + y = 4
x-intercept:
y-intercept:
Event Planning You are helping to plan an awards banquet for your school, and you need to rent
tables to seat 180 people. Tables come in two sizes. Small tables seat 4 people, and large
tables seat 6 people. This situation can be modeled by the equation
4x + 6y = 180
where x is the number of small tables and y is the number of large tables.



Find the intercepts of the graph of the equation.
Graph the equation.
Give four possibilities for the number of each size table you could rent.
Step 1: Find the intercepts.
Step 2: Graph the equation.
Step 3: Find the number of tables.