Understanding Linear Equations

The video tutorial explains how to identify the slope, y-intercept, and x-intercept of linear equations. It covers various examples, including equations in slope-intercept form and special cases like horizontal and vertical lines. The tutorial provides step-by-step instructions for solving equations to find intercepts and verify slopes, emphasizing the concepts of slope-intercept form and the characteristics of horizontal and vertical lines.

What is the vertical intercept of a line often called?

• Gradient

• Y-intercept

• Slope

• X-intercept

In the equation Y = 3 1/2X - 4, what is the slope?

• 0

• 3 1/2

• 5

• -4

For the equation Y = -2X + 5, what are the coordinates of the Y-intercept?

• (0,-2)

• (5,0)

• (2,0)

• (0,5)

In the equation Y = 5X, what is the X-intercept?

• (0,5)

• (5,0)

• (1,5)

• (0,0)

What is the slope of the line represented by the equation Y = 5X?

• 0

• 5

• -5

• Undefined

How do you find the X-intercept of the equation 3X - 2Y = 10?

• Multiply by 2

• Set X = 0 and solve for Y

• Set Y = 0 and solve for X

• Divide by 3

What is the slope of a horizontal line like Y = -3?

• 3

• Undefined

• -3

• 0

For the equation X = 4, what is the Y-intercept?

• (0,0)

• (0,4)

• (4,0)

• DNE

What does DNE stand for in the context of intercepts?

• Defined Not Equal

• Defined Not Exist

• Does Not Exist

• Does Not Equal

What is the X-intercept of the line X = 4?

• DNE

• (0,4)

• (0,0)

• (4,0)