Writing Equations from Tables

This video tutorial teaches how to write equations from tables by finding the slope and y-intercept. It revisits the slope-intercept form, y = mx + b, and demonstrates how to calculate the slope using the formula (y2 - y1) / (x2 - x1). The video provides four examples, each showing how to determine the slope and y-intercept from a table of values, and how to write the corresponding equation. The tutorial emphasizes the importance of correctly labeling values and using the slope formula to avoid errors.

What is the general form of the slope-intercept equation?

• y = mx + b

• x = my + b

• y = m + bx

• b = mx + y

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

• The y-intercept

• The constant term

• The slope

• The x-intercept

Using the slope formula, what is the slope if y2 = 9, y1 = 7, x2 = 1, and x1 = 0?

• 4

• 1

• 2

• 3

How do you identify the y-intercept from a table?

• Look for the x-value of 0

• Look for the y-value of 0

• Look for the y-value of 1

• Look for the x-value of 1

What is the y-intercept if the table shows x = 0 and y = -4?

• -1

• 4

• 0

• -4

If the slope is -3 and the y-intercept is -4, what is the equation in slope-intercept form?

• y = -3x + 4

• y = 3x + 4

• y = -3x - 4

• y = 3x - 4

How do you find the y-intercept if the table does not directly provide an x-value of 0?

• Use the slope formula

• Use any y-value

• Extend the table by following the pattern

• Estimate the value

What is the slope if y2 = -5, y1 = -9, x2 = 5, and x1 = 4?

• 1

• 2

• 4

• 3

If the slope is 4 and the y-intercept is -21, what is the equation in slope-intercept form?

• y = -4x + 21

• y = 4x + 21

• y = -4x - 21

• y = 4x - 21

What is the y-intercept if the table shows x = 0 and y = -34?

• -34

• 0

• -1

• 34