Understanding Slope and Linear Equations

The video tutorial explains how to write linear equations from tables by identifying the slope and y-intercept. It covers calculating slopes from changes in y and x values, handling negative slopes, and understanding proportional relationships. The tutorial also demonstrates alternative methods to find intercepts and concludes with a summary of key concepts.

What is the slope of a line if the change in y is 4 and the change in x is 2?

• 4

• 3

• 2

• 1

If the y-intercept is 8, what is the equation of the line with a slope of 2?

• y = 2x + 8

• y = 2x - 8

• y = 8x + 2

• y = 8x - 2

What is the general form of a linear equation?

• y = mx^2 + b

• y = ax^2 + bx + c

• y = ax + b

• y = mx + b

What does the 'm' represent in the equation y = mx + b?

• Constant

• Slope

• X-intercept

• Y-intercept

What does the 'b' represent in the equation y = mx + b?

• Constant

• X-intercept

• Slope

• Y-intercept

What is the slope of a line if the change in y is 4 and the change in x is 2?

• 4

• 3

• 2

• 1

If the y-intercept is 8, what is the equation of the line with a slope of 2?

• y = 8x - 2

• y = 2x + 8

• y = 2x - 8

• y = 8x + 2

What is the slope of a line if the change in y is 2 and the change in x is 3?

• 1/3

• 3

• 3/2

• 2/3

What is the equation of a line with a slope of 2/3 and a y-intercept of 0?

• y = 2/3x

• y = 3x + 2

• y = 3/2x

• y = 2x + 3

If a line has a slope of 2 and passes through the origin, what is its equation?

• y = 2x + 1

• y = 2x - 1

• y = x + 2

• y = 2x