Finding x & y intercepts

Finding x & y intercepts

I can use x- and y-intercepts to graph lines.

I can find x- and y-intercepts and interpret their meanings in real-world situations.

The y-intercept is the y-coordinate of the point where the graph intersects the y-axis.

The x-coordinate of this point is always 0. 

The x-intercept is the x-coordinate of the point where the graph intersects the x-axis. 

The y-coordinate of this point is always 0. 

The y-intercept is -120. It is the coordinate (0,-120)

The x-intercept is 4. It is the coordinate (4,0)

When looking at a graph, find where the line crosses each axis.

For this graph, the line crosses at (-2,0) and at (0,1)

Intercepts can be written as coordinates. (x,y)

Therefore it's x-intercept is -2 and it's y-intercept is 1.

This is often written

x-int = -2 and y-int = 1

Intercepts can also be written as a single number.

Multiple Select

Which ones show the x-intercept for this graph?

• -2

• 3

• (-2,0)

• (0,3)

Multiple Select

Which ones show the y-intercept for this graph?

• -2

• 3

• (-2,0)

• (0,3)

Multiple Choice

Which ordered pair could represent a y-intercept on a graph?

• (6, 0)
• (0, 4)
• (-1, 3)
• (2, 0)

Multiple Choice

Identify the y-intercept of the graph.

• (0, 3)

• (-1, 0)

• (0, -1)

• (3, 0)

Multiple Choice

Identify the x-intercept of the graph.

• (0, 3)

• (-1, 0)

• (0, -1)

• (3, 0)

Multiple Choice

Identify the x-intercept of the graph.

• (-4, 0)

• (0, -2)

• (0, -4)

• (-2, 0

Multiple Choice

Identify the y-intercept of the graph.

• (-4, 0)

• (0, -2)

• (0, -4)

• (-2, 0

Multiple Choice

Give the y-intercept

• (2,0)
• (-2,0)
• (0,-2)
• there is no y-intercept

Multiple Choice

Give the x-intercept

• (-2,0)

• (-2,0)

• (0,1)

• (1,0)

Multiple Choice

^{What is the x- intercept of the line?}

• (1, 0)
• (2, 0)
• ( -1, 0)
• (-2, 0)

Multiple Choice

^{What is the y - intercept of the line?}

• (1, 0)

• (0,1)

• ( -1, 0)

• (0, -1)

Multiple Choice

_{What is the y-intercept of the line?}

•  (0,¹/₂)
• (0,1)
• (0, ^-1/2)
• (0, -1)

Multiple Choice

_{What is the x-intercept of the line?}

• (¹/₂ ,0)

• (1,0)

• ( ^-1/2,0)

• (-1,0)

Multiple Choice

Identify the graph with a x-intercept of 3 and a y-intercept of - 1

Multiple Choice

Identify the graph with a x-intercept of -2 and y-intercept of 2

Multiple Choice

What are the x- and y- intercepts, respectively, on this graph?

• (0,5), (0,5)
• (5,0), (5,0)
• (5,0), (0,5)
• (0,0), (5,0)

Finding x & y intercepts from an equation and using them to create a linear graph.

Since each intercept has a ZERO as part of its coordinate,we can use ZEROS to calculate the intercepts.

Substitute 0 in for the x-value and solve to find the y-intercept. (0,-5)

Substitute 0 in for the y-value and solve to find the x-interecpt. (2,0)

These two points can be graphed and the line for this equation drawn through them.

Multiple Choice

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4    
  y-int = -10
• x-int = 5
  y-int = 2
• x - int = 5
  y int = -2
• x -int = 4
  y -int = -10

Multiple Choice

True or false:
The y-intercept of a function ALWAYS occurs where y is equal to zero.

• True
• False

Multiple Choice

True or false:
The x-intercept of a function ALWAYS occurs where y is equal to zero.

• True
• False

Multiple Choice

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4    
  y-int = -10
• x-int = 5
  y-int = 2
• x - int = 5
  y int = -2
• x -int = 4
  y -int = -10

Multiple Choice

From the equation y = 3x + 18,  what is the value of the x-intercept?

• -6
• 6
• 18
• 3

Multiple Choice

Give the y-intercept
y = 3x + 8

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

Give the y-interecept
3x + y = 5

• (-3, 0)
• (0,5)
• (5, 0)
• (0, -3)

Multiple Choice

What is the y-intercept of   $5x+y=-4$  ?

•  $\left(0,\ -4\right)$  

•  $\left(0,4\right)$  

•  $\left(0,5\right)$  

•  $\left(0,-5\right)$  

Multiple Choice

What is the x-intercept of $5x+y=-4$  ?

•  $\left(-\frac{4}{5},0\right)$  

•  $\left(\frac{4}{5},0\right)$  

•  $\left(4,\ 0\right)$  

•  $\left(-5,0\right)$  

Multiple Choice

What is the y-intercept of  $2y=x+5$  ?

•  $\left(0,\ \frac{5}{2}\right)$  

•  $\left(0,5\right)$  

•  $\left(0,-5\right)$  

•  $\left(0,\frac{2}{5}\right)$  

Multiple Choice

What is the x-intercept of  $2y=x+5$  ?

•  $\left(-5,0\right)$  

•  $\left(5,\ 0\right)$  

•  $\left(\frac{5}{2},\ 0\right)$  

•  $\left(\frac{2}{5},0\right)$  

Multiple Choice

What is the y-intercept of

 $8y=2x-4$  ?

•  $\left(0,-\frac{1}{2}\right)$  

•  $\left(0,5\right)$  

•  $\left(0,2\right)$  

•  $\left(0,4\right)$  

Multiple Choice

What is the x-intercept of  $8y=2x-4$  ?

•  $\left(2,\ 0\right)$  

•  $\left(-\frac{1}{2},0\right)$  

•  $\left(5,\ 0\right)$  

•  $\left(4,\ 0\right)$