Graphing Lines in Slope-Intercept Form

The video tutorial explains how to graph a linear equation in slope-intercept form, y = 1/3x - 2. It covers the identification of the slope (m = 1/3) and y-intercept (b = -2), and demonstrates how to use these to graph the line. The tutorial emphasizes understanding the slope as the change in y over the change in x, and provides a step-by-step guide to plotting the line on a graph.

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

• y = mx^2 + b

• y = mx + b

• ax + by = c

• x = my + b

In the equation y = 1/3x - 2, what does 1/3 represent?

• The slope

• The x-intercept

• The y-intercept

• The constant term

What is the y-intercept of the equation y = 1/3x - 2?

• 1/3

• -2

• 0

• 2

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

• By setting x to 1

• By setting x to 0

• By setting y to 0

• By finding where the line crosses the x-axis

What does the slope of a line tell us?

• The y-intercept of the line

• The x-intercept of the line

• The horizontal change for each unit of vertical change

• The vertical change for each unit of horizontal change

If the slope is 1/3, how much does y change if x increases by 3?

• Increases by 1

• Decreases by 1

• Increases by 3

• Stays the same

What point is guaranteed to be on the graph of y = 1/3x - 2?

• (1, -2)

• (0, -2)

• (1/3, 0)

• (0, 1/3)

How does the graph of y = 1/3x - 2 look?

• A line sloping downwards from left to right

• A horizontal line

• A vertical line

• A line sloping upwards from left to right

What happens to the y-value when x decreases by 3 in the equation y = 1/3x - 2?

• It increases by 3

• It decreases by 1

• It increases by 1

• It decreases by 3

How can you graph the line of the equation y = 1/3x - 2 using its slope and y-intercept?

• Plot the y-intercept, then use the slope to find another point

• Draw a line through the origin with the given slope

• Plot the x-intercept, then draw a line through it

• Use the slope to find the y-intercept