Writing Equations from Graphs, Tables, and Points

The video tutorial reviews linear concepts, focusing on graph analysis, slope calculation, and forming linear equations. It covers identifying y-intercepts and slopes from graphs and tables, and provides complex examples of finding equations from given points. The tutorial emphasizes understanding the relationship between rise and run, and how to derive equations from different data representations.

What is the first step in graphing a linear equation?

• Identifying the y-intercept

• Drawing the x-axis

• Finding the slope

• Plotting points where the line crosses the grid

How many points are needed to determine the slope of a line?

• Three

• Four

• One

• Two

If the rise is -6 and the run is 5, what is the slope of the line?

• -6/5

• 5/6

• 6/5

• -5/6

In the equation y = b + mx, what does 'b' represent?

• The slope

• The x-intercept

• The y-intercept

• The rise

Given a y-intercept of -6 and a slope of 3/2, what is the equation of the line?

• y = -6 - 3/2x

• y = -6 + 3/2x

• y = 3/2x - 6

• y = 3/2 - 6x

How do you find the y-intercept from a table of values?

• Look for the point where x is 0

• Find the highest y value

• Calculate the slope first

• Subtract the smallest y value from the largest

If the y change is 14 and the x change is 8, what is the simplified slope?

• 8/14

• 4/7

• 7/4

• 14/8

What is the y-intercept if the line passes through points (0, -6) and (6, -11)?

• -6

• 6

• -11

• 0

If the y change is -24 and the x change is 4, what is the slope?

• -6

• 6

• 4

• -24

What is the equation of the line if the y-intercept is 5 and the slope is -6?

• y = -6 + 5x

• y = -6 - 5x

• y = 5 - 6x

• y = 5 + 6x