Writing Linear Equations from Tables and Graphs

The video tutorial covers how to write linear equations from tables and graphs. It explains the concepts of y-intercept and slope, and demonstrates how to find these values from given data. The tutorial includes examples with both whole numbers and decimals, and shows how to analyze graphs to derive equations. The video concludes with tips for practicing these skills.

What is the general form of a linear equation?

• y = a + bx

• y = ab + x

• y = ax^2 + b

• y = ax + b

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

• The slope

• The x-intercept

• The y-intercept

• The coefficient of x

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

• Look for the y value when x is 1

• Look for the x value when y is 1

• Look for the y value when x is 0

• Look for the x value when y is 0

If the y values in a table increase by 7 as x increases by 1, what is the slope (a)?

• 7

• 1

• 12

• 0

Given the table values where x = 0, y = 4, and the pattern is a decrease of 0.3, what is the equation?

• y = 0.3x - 4

• y = -0.3x + 4

• y = 0.3x + 4

• y = -0.3x - 4

What is the equation if the table shows x = 0, y = 10, and the pattern is an increase of 1?

• y = x + 10

• y = 10x + 1

• y = 1x + 10

• y = 10 + x

Where do you find the y-intercept on a graph?

• On the y-axis

• On the x-axis

• At the origin

• At any point on the line

If a graph shows the line passing through (0, 1) and (1, 5), what is the slope (a)?

• 5

• 4

• 1

• 0

What is the equation of a line with y-intercept -1 and slope -2?

• y = 2x - 1

• y = -2x + 1

• y = -2x - 1

• y = 2x + 1

How can you write the equation y = -2x + (-1) in a simpler form?

• y = 2x - 1

• y = 2x + 1

• y = -2x + 1

• y = -2x - 1