4.4 Graphing Lines Using Intercepts Todays Schedule: Lesson 4.4
Powerpoint Lesson 4.4 Powerpoint In class assignment/homework In
class assignment/homework Exit Slip Exit Slip GOAL: Find the
intercepts of the graph of a linear equation and then use them to
make a quick graph of the equation. KEY WORDS: x-intercepts,
y-intercepts, x-axis, y-axis.
Slide 9
4.4 Graphing Lines Using Intercepts An x-intercept is the
x-coordinate of a point where a graph crosses the x-axis. A
y-intercept is the y-coordinate of a point where a graph crosses
the y- axis The y-intercept is the value of y when x = 0. Here, the
y-intercept is 2. The x-intercept is the value of x when y = 0.
Here, the x-intercept is 3.
Slide 10
4.4 Graphing Lines Using Intercepts EXAMPLE 1 Find an
x-intercept Find the x-intercept of the graph of the equation 2x +
3y =6 SOLUTION To find an x-intercept, substitute 0 for y and solve
for x. STEP ONE: Write the original equation2x + 3y = 6 STEP TWO:
Substitute 0 for y2x + 3(0) = 6 STEP THREE: Solve for xx = 3
ANSWER> The x-intercept is 3. The line crosses the x-axis at the
point (3,0)
Slide 11
4.4 Graphing Lines Using Intercepts EXAMPLE 2 Find a
y-intercept Find the y-intercept of the graph of the equation 2x +
3y =6 SOLUTION To find a y-intercept, substitute 0 for x and solve
for y. STEP ONE: Write the original equation2x + 3y = 6 STEP TWO:
Substitute 0 for x2(0) + 3y = 6 STEP THREE: Solve for yy = 2
ANSWER> The y-intercept is 2. The line crosses the y-axis at the
point (0,2)
Slide 12
4.3 Horizontal and Vertical Lines CHECK POINT Find Intercepts
1.Find the x-intercept of the graph of the equation 3x 4y = 12
2.Find the y-intercept of the graph of the equation 3x 4y = 12
Slide 13
4.4 Graphing Lines Using Intercepts SUMMARY Making a Quick
Graph STEP ONE Find the intercepts. STEP TWO Draw a coordinate
plane that includes the intercepts. STEP THREE Plot the intercepts
and draw a line through them.
Slide 14
4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick
Graph Graph the equation 3x + 2y = 12 SOLUTION Find the intercepts.
STEP ONE: Write the original equation 3x + 2y = 12 STEP TWO:
Substitute 0 for y 3x + 2(0) = 12 STEP THREE: Solve for x x = 4
1
Slide 15
4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick
Graph Graph the equation 3x + 2y = 12 SOLUTION Find the intercepts.
STEP ONE: Write the original equation 3x + 2y = 12 STEP TWO:
Substitute 0 for x 3(0) + 2y = 12 STEP THREE: Solve for y y = 6
1
Slide 16
4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick
Graph Graph the equation 3x + 2y = 12 SOLUTION Draw a coordinate
plane that includes the points (4,0) and (0,6). 2
Slide 17
4.4 Graphing Lines Using Intercepts EXAMPLE 3 Make a Quick
Graph Graph the equation 3x + 2y = 12 SOLUTION Plot the points
(4,0) and (0,6) and draw a line through them. 3
Slide 18
4.4 Graphing Lines Using Intercepts CHECK POINT Make a Quick
Graph Graph the equation using intercepts. 1.2x + 5y = 10 2.x 6y =
6 3.4x -5y = 20 YOURE CERTIFIED
Slide 19
4.4 Graphing Lines Using Intercepts CLASSWORK/HOMEWORK Page 225
#s 3 17 (You have to graph 9 14)
