X and Y Intercepts

X and Y Intercepts

Finding X and Y Intercepts from a Graph

• The x-intercept is the point where a line or curve crosses the x-axis.

• The y-intercept in the point where a line or curve crosses the y-axis.

Multiple Choice

Identify the x-intercept of this graph.

• (-2,0)

• (-3,0)

• (0,3)

• (2,0)

Multiple Choice

What is the y-intercept of this graph.

• (0,-4)

• (-4,0)

• (0,-2)

• (0,0)

Multiple Choice

Identify the x-intercept of this graph.

• None

• (4,0)

• (0,4)

• Undefined

Multiple Choice

Does this graph have an x-intercept?

• Yes

• No

• It is not possible to determine from the graph.

Multiple Choice

Identify the x and y intercepts of this graph.

• They are both (0,0).

• They cannot be determined from the graph.

• x-intercept is (0,0).

  y-intercept is (0,-1)

• None of the above

Multiple Choice

Identify the x and y intercepts of the line graphed in the picture.

• x-intercept: Undefined

  y-intercept: 0

• x-intercept: (0,-2.8)

  y-intercept: (-3.5,0)

• x-intercept: (-3.5,0)

  y-intercept: (0,-2.8)

• x-intercept: (3.5,0)

  y-intercept: (0,2.8)

Multiple Select

Select the statements that are true about the curve shown in this picture.

• It has one y-intercept

• It has one x-intercept

• It has two-x-intercepts

• It has two y-intercepts.

Y-Intercept

• The slope-intercept form of a linear equation is y=mx+b.

• The m represents the slope.

• The b represents the y value of the y-intercept.

• The x value of the y intercept is always 0.

Multiple Choice

The x value of the y-intercept is always what number?

• 0

• 1

• -1

• Trick question. The is no such thing as a purple alligator.

X-Intercept

The y value in the of the x-intercept is always 0. The x-intercept is not part of the slope-intercept form of a linear equation. Find the x-intercept by substituting 0 for the y in the slope intercept form of a linear equation and solving the equation.

Multiple Choice

The y value of the x-intercept is always 0.

• True

• False

Calculating the X and Y intercepts from Slope-Intercept

• The x value of the y-intercept is always 0.

• The y-value of the x-intercept is always 0.

• The b in the slope intercept form is the y value of the y-intercept.

• Find the x value of the x-intercept by substituting 0 for y and then solving the equation.

Multiple Choice

Identify the y-intercept of the equation:

 $y=3x-9$  

• (0,3)
  

• (0,-9)

• (9,0)

• (3,0)

Multiple Choice

Identify the y-intercept of the equation:

 $y=2x-7$  

• (0,-7)

• (7,0)

• (2,0)

• (-2,0)

Multiple Choice

Identify the y-intercept of the equation:

 $y=x$  

• (0,0)

• (1,0)

• The is no y-intercept

Multiple Choice

Find the x-intercept of the equation:

 $y=2x-4$  

• (-4,0)

• (2,0)

• (0,2)

• (0,-4)

Multiple Choice

Find the x-intercept of the equation:

 $y=4x-2$  

•  $\left(\frac{1}{2},0\right)$  

•  $\left(0,\frac{1}{2}\right)$  

•  $\left(-2,0\right)$  

•  $\left(0,-2\right)$  

Multiple Choice

Find the x-intercept of the equation:

 $y=\frac{1}{2}x+5$  

• (0,-10)

• (5,0)

• (0,5)

• (-10,0)

Graphing from Standard Form using the X and Y Intercepts.

Multiple Choice

Find the x-intercept of this equation: 2x+4y=1

• $\left(\frac{1}{2},0\right)$

• $\left(0,\frac{1}{2}\right)$

• $\left(\frac{1}{4},0\right)$

• $\left(0,\frac{1}{4}\right)$

Multiple Choice

Find the x-intercept of this equation: 5x-7y=10

• (0,2)

• (2,0)

• (10,7)

• (7,10)

Multiple Choice

Find the y-intercept of this equation: 6x-5y=15

• $\left(\frac{5}{2},0\right)$

• $\left(0,\frac{5}{2}\right)$

• $\left(-3,0\right)$

• $\left(0,-3\right)$

Multiple Choice

Find the y-intercept of this equation: 140x-2y=50

• $\left(0,\frac{5}{14}\right)$

• (-25,0)

• (0,-25)

• $\left(\frac{5}{14},0\right)$

  (