Graphing Linear Equations in Slope-Intercept Form

The video tutorial explains how to graph a line using the slope-intercept form, y = mx + b. It identifies the slope (m) and y-intercept (b) from the equation, demonstrating how to plot the y-intercept on the graph and use the slope to find additional points. The tutorial provides a step-by-step guide to plotting these points and drawing the line, emphasizing the relationship between the slope and the changes in x and y. The video concludes with a brief mention of future topics, such as handling equations not solved for y.

What does 'm' represent in the slope-intercept form of a line?

• The slope of the line

• The point on the line

• The y-intercept

• The x-intercept

What value is identified as the y-intercept in the equation y = -2x + 5?

• +2

• 0

• -2

• +5

How is the slope -2 represented as a fraction?

• 1/2

• -2/1

• 2/-1

• -1/2

What does a slope of -2/1 indicate about the direction of the line?

• Upwards to the right

• Downwards to the left

• Downwards to the right

• Upwards to the left

What is the purpose of converting the slope into a fraction?

• To find the y-intercept

• To facilitate graphing by rise over run

• To identify the x-intercept

• To simplify the equation

After plotting the y-intercept, what is the next step in graphing the line?

• Draw a vertical line

• Plot the x-intercept

• Use the slope to find another point

• Draw a horizontal line

How many units do you move down and to the right from the y-intercept using the slope -2/1?

• Down 2, Right 1

• Down 2, Right 2

• Down 1, Right 2

• Down 1, Right 1

What is the correct graphing sequence using the slope -2/1 from a point?

• Right 1, Down 2

• Left 1, Down 2

• Down 2, Right 1

• Right 1, Up 2

How can slope-intercept form be used when the equation is not solved for y?

• By solving for y first

• It cannot be used

• By converting to standard form

• By plotting points randomly