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X and Y Intercepts.pdf, Lecture notes of Algebra

The y-intercept is where the graph crosses the y-axis. *The x-coordinate is always 0. (2, 0). (0, -6). Find the x- and y intercepts. 1. x - 2y = 12.

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1
X and Y Intercepts
of Linear Equations
Vocabulary
x-intercept
y-intercept
What does it mean to
INTERCEPT a pass in football?
The path of the defender crosses the
path of the thrown football.
In algebra, what are x- and y-intercepts?
What are the x- and y-intercepts?
The x-intercept is
where the graph
crosses the x-axis.
*The y-coordinate
is always 0.
The y-intercept is
where the graph
crosses the y-axis.
*The x-coordinate
is always 0.
(2, 0)
(0, -6)
Find the x- and y intercepts.
1. x
1. x -
-2y = 12
2y = 12
x-intercept: Plug in 0for y.
x - 2(0) = 12
x = 12; (12, 0)
y-intercept: Plug in 0for x.
0- 2y = 12
y = -6; (0, -6)
x-intercept: Plug in 0for y.
-3x - 5(0) = 9
-3x = 9
x = -3; (-3, 0)
y-intercept: Plug in 0for x.
-3(0) + 5y = 9
5y = 9
y = ; (0, )
9
5
9
5
Find the x- and y intercepts.
2.
. -
-3x + 5y = 9
3x + 5y = 9
pf3

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X and Y Intercepts

of Linear Equations

Vocabulary

x - intercept

y - intercept

What does it mean to

INTERCEPT a pass in football?

The path of the defender crosses the

path of the thrown football.

In algebra, what are x- and y-intercepts?

What are the x- and y-intercepts?

The x-intercept is

where the graph

crosses the x-axis.

*The y-coordinate

is always 0.

The y-intercept is

where the graph

crosses the y-axis.

*The x-coordinate

is always 0.

Find the x- and y intercepts.

1. x 1. x - - 2y = 122y = 12

x-intercept: Plug in 0 for y.

x - 2( 0 ) = 12

x = 12; (12, 0)

y-intercept: Plug in 0 for x.

0 - 2y = 12

y = - 6; (0, - 6 )

x-intercept: Plug in 0 for y.

- 3x - 5( 0 ) = 9

- 3x = 9

x = - 3; (-3, 0)

y-intercept: Plug in 0 for x.

- 3( 0 ) + 5y = 9

5y = 9

y = 9 ; (0, )

Find the x- and y intercepts.

2 .. - -3x + 5y = 93x + 5y = 9

x-intercept: Plug in 0 for y.

Does 0 = 7?

No! There is no x-intercept. None

What type of lines have no x-

intercept?

Horizontal!

Horizontal lines…y = 7…y-int = (0, 7)

Find the x- and y-intercepts.

3. y = 7 3. y = 7 Special case

You can graph a linear equation easily by finding

the x - intercept and the y - intercept.

The x - intercept of a line is the value of x where

the line crosses the x - axis (where y = 0).

The y - intercept of a line is the value of y where

the line crosses the y - axis (where x = 0).

(x,y)

• x- Intercept = (x, 0 )

• y- Intercept = ( 0 ,y)

Find the x - intercept and y - intercept of the line 4 x – 3 y = 12. Use the intercepts to graph the equation. Additional Example 1: Finding x - intercepts and y - intercepts to Graph Linear Equations Find the x - intercept ( y = 0). 4 x – 3 y = 12 4 x – 3 (0) = 12 4 x = 12 4 x 4

x = 3 The x - intercept is 3. Additional Example 1 Continued Find the y - intercept ( x = 0). 4 x – 3 y = 12 4 (0) – 3 y = 12

  • 3 y = 12
    • 3 y
      • 3

y = – 4 The y - intercept is – 4. Additional Example 1 Continued The graph of 4 x – 3 y = 12 is the line that crosses the x - axis at the point (3, 0) and the y - axis at the point (0, – 4).