Graphing Lines Using Slope-Intercept Form

Mr. Buffington introduces graphing lines using the slope-intercept form, y = mx + b. He explains how to identify the slope and y-intercept from the equation and use them to graph lines. The video includes examples and practice exercises, encouraging viewers to match equations with graphs. A challenge question is presented to reinforce learning. The lesson emphasizes the importance of understanding slope and y-intercept for graphing lines effectively.

What does the 'm' in the equation y = mx + b represent?

• Coefficient of y

• Y-intercept

• X-intercept

• Slope

Where does a line cross the y-axis if the equation is y = 3x + 2?

• At (0, 2)

• At (2, 0)

• At (3, 0)

• At (0, 3)

What does the 'b' in the equation y = mx + b signify?

• Coefficient of x

• Y-intercept

• X-intercept

• Slope

If a line has a slope of 1, what is its rise over run?

• Rise of 2, run of 2

• Rise of 2, run of 1

• Rise of 1, run of 1

• Rise of 1, run of 2

How do you graph a line with a slope of -1?

• Down 1, left 1

• Up 1, right 1

• Down 1, right 1

• Up 1, left 1

If the slope is 2, what is the rise over run?

• Rise of 2, run of 1

• Rise of 1, run of 1

• Rise of 1, run of 2

• Rise of 2, run of 2

Which equation matches a graph with a y-intercept of 1 and a slope of -1/2?

• y = -1x + 1

• y = 1/2x + 1

• y = x + 1

• y = -1/2x + 1

Which equation represents a line that crosses the y-axis at 3 and has a slope of 2?

• y = 2x + 3

• y = 3x + 2

• y = 2x - 3

• y = 3x - 2

For the equation y = x, what is the y-intercept?

• 2

• -1

• 0

• 1

What is the slope of a line with the equation y = -1/2x?

• -1/2

• 1/2

• -2

• 2