Linear Equations and Graphs

The video tutorial covers graphing linear equations, calculating slope using different methods, solving inequalities and equations, and applying these concepts to real-world word problems. It emphasizes understanding the slope-intercept form, using rise over run, and the slope formula. The tutorial also includes practical examples to reinforce learning.

What is the y-intercept of the equation y = 2x - 5?

• 5

• 0

• 2

• -5

If the slope of a line is 2, what does this mean in terms of rise and run?

• Rise 1, Run 2

• Rise 2, Run 2

• Rise 2, Run 1

• Rise 1, Run 1

Which graph correctly represents the line y = 2x - 5?

• Graph A

• Graph D

• Graph B

• Graph C

How do you convert a whole number slope into a fraction?

• Subtract 1

• Put it over 1

• Multiply by 1

• Divide by 2

What is the slope of a line that rises 3 units and runs 4 units?

• 7

• 1

• 4/3

• 3/4

Which formula is used to calculate the slope between two points?

• y2 - y1 / x2 - x1

• x2 - x1 / y2 - y1

• y1 - y2 / x1 - x2

• x1 - x2 / y1 - y2

What is the slope of a line if the coordinates are (-2, -2) and (2, 1)?

• 4/3

• 2

• 3/4

• 1

Which statement is true about the slope of a straight line?

• It varies between points

• It is always zero

• It is always positive

• It is the same between any two points

If a line has a positive slope, how does it appear on a graph?

• Slopes downward

• Slopes upward

• Is horizontal

• Is vertical

What is the slope of a line that rises 5 units and runs 7 units?

• 1

• 7/5

• 12

• 5/7