Writing Linear Equations from Graphs and Tables

The video tutorial explains the slope-intercept form of linear equations, represented as y = MX + B, where M is the slope and B is the y-intercept. It provides two examples to demonstrate how to find the slope and y-intercept from a graph and a table. The first example uses a graph to identify points and calculate the slope using rise over run, while the second example uses a table to determine the slope and y-intercept. The video concludes with a reminder to jot down any questions.

What is the general form of a linear equation in slope-intercept form?

• y = mx + b

• y = ax + b

• y = ax^2 + bx + c

• y = mx^2 + b

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

• The y-intercept

• The slope

• The x-intercept

• The constant term

How can you find the slope from a graph?

• Using the quadratic formula

• Using the midpoint formula

• Using rise over run

• Using the Pythagorean theorem

What are the coordinates of the two points used to find the slope in the first example?

• (1, 3) and (0, -1)

• (0, -1) and (3, 1)

• (1, 0) and (-1, 3)

• (0, 1) and (3, -1)

What is the slope (m) of the line passing through the points (0, 1) and (3, -1)?

• -3/2

• 3/2

• -2/3

• 2/3

Where does the y-intercept (b) appear on a graph?

• At the origin

• At the highest point of the line

• Where the line crosses the y-axis

• Where the line crosses the x-axis

What is the linear equation for a line with a slope of -2/3 and a y-intercept of 1?

• y = 2/3x - 1

• y = -3/2x + 1

• y = 3/2x - 1

• y = -2/3x + 1

How can you double-check the slope of a line?

• Using the distance formula

• Using rise over run

• Using the quadratic formula

• Using the midpoint formula

What is the slope (m) of the line with a change in y of -4 and a change in x of 2?

• -2

• 2

• 4

• -4

What is the y-intercept (b) if the coordinates are (0, -9)?

• -1

• -9

• 0

• 9