Writing Linear Equations from Graphs and Tables

The video tutorial covers how to write linear equations by first understanding the concept of slope, which is the change in y over the change in x. It explains how to find the slope from both graphs and tables, emphasizing the importance of identifying the y-intercept. The tutorial also guides viewers on writing equations of lines using the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept. Practical examples are provided to illustrate these concepts.

What is the symbol used to represent slope?

• A

• B

• N

• M

How do you find the slope using a graph?

• By counting the number of points

• By adding the x and y values

• By finding the rise over run

• By multiplying the x and y values

If you are moving downwards on a graph, what is the sign of your slope?

• Negative

• Undefined

• Positive

• Zero

What does the triangle symbol (Δ) represent in the context of slope?

• Sum

• Difference

• Product

• Quotient

How do you ensure consistency when finding the slope from a table?

• By adding the differences

• By dividing the differences

• By subtracting the differences

• By multiplying the differences

What is the y-intercept?

• The y-value when x is 0

• The point where the line crosses the x-axis

• The x-value when y is 0

• The slope of the line

What is the general form of a linear equation?

• Y = MX + B

• Y = M + BX

• Y = X + MB

• Y = B + MX

If the slope (M) is 4 and the y-intercept (B) is -7, what is the equation of the line?

• Y = -4X - 7

• Y = 4X - 7

• Y = -4X + 7

• Y = 4X + 7

When writing an equation from a graph, what should you identify first?

• The x-intercept

• The midpoint

• The y-intercept

• The slope

Why is it important to pay attention to the scales on the axes when finding the slope from a graph?

• Because the scales only affect the y-intercept

• Because the scales can vary and affect the calculation

• Because the scales are irrelevant

• Because the scales are always the same