X and Y Intercepts from Standard Form

Intercepts from Standard Form

Finding the x and y intercepts from linear functions that are in standard form.

What is an "x - intercept"?

• Where a linear function crosses through the x-axis.

• The x - axis is the horizontal axis.

What is a "y - intercept"?

• The y - intercept is where a linear function crosses through the y - axis on a coordinate plane.

• The y - axis is the vertical axis.

Finding the x-intercept

• Split up the linear function that is written in standard form.

• Set the 'x term' equal to the 'C' integer.

• Example: 2x + 5y = 4

• Set the 'x term' equal to the 'C' integer.

• 2x = 4

• NOW SOLVE FOR THE X INTERCEPT

• x = 4/2 therefore x = 2

Finding the y-intercept

• Split up the linear function that is written in standard form.

• Set the 'y term' equal to the 'C' integer.

• Example: 2x + 5y = 4

• Set the 'y term' equal to the 'C' integer.

• 5y = 4

• NOW SOLVE FOR THE Y INTERCEPT

• y = 4/5

Multiple Choice

Give the y-interecept

3x + y = 5

• y = 0

• y = 5

• y = -3

• y = -5

Multiple Choice

Give the x-intercept

3x + 8y = 24

• x = 8

• x = 0

• x = 3

• x = 24

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

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

• x = 1

• x = 2

• x = -1

• x = -2

Poll

Are you comfortable with finding the x and y intercepts from the standard form of a linear function that is provided?

• YES

• NO