Understanding Linear Equations and Slope

The video tutorial covers Activity 3 from Lesson 13, focusing on solving linear equations. It compares standard and slope-intercept forms, explains equation manipulation techniques, and demonstrates graphing equations. The tutorial includes collaborative problem-solving using cards and provides detailed examples of solving equations step-by-step.

What is the slope in the slope-intercept form of a linear equation?

• The product of a and b

• The sum of a and b

• The opposite of the ratio of a to b

• The ratio of c to b

When moving a term across the equal sign, what happens to its sign?

• It becomes zero

• It remains the same

• It becomes the additive inverse

• It doubles

What is the coefficient of x in the equation 2x - y = 14?

• -2

• 1

• 2

• -1

In the equation y = -2x - 1/2, what is the y-intercept?

• -2

• 0

• 1/2

• -1/2

What does a slope of 2 mean in terms of movement on a graph?

• For every unit in the y-direction, move up 2 units in the x-direction

• For every 2 units in the x-direction, move up 1 unit in the y-direction

• For every 2 units in the y-direction, move up 1 unit in the x-direction

• For every unit in the x-direction, move up 2 units in the y-direction

What is the slope of the equation y = 5x?

• -5

• 0

• 5

• 1

In the equation 3x + 2y = 36, what is the y-intercept?

• 36

• 0

• 12

• 18

How do you convert the equation 6 - x = 4y to slope-intercept form?

• y = -4x + 6

• y = -1/4x + 3/2

• y = 4x - 6

• y = 1/4x - 3/2

What is the slope of the equation 9x = 2y?

• 2/9

• -2/9

• 9/2

• -9/2

Which point is on the line represented by the equation y = 9/2x?

• All of the above

• (0, 0)

• (2, 9)

• (4, 18)