Graphing Lines in Slope-Intercept Form

This video tutorial covers graphing lines in slope-intercept form, starting with an introduction to the formula y = mx + b, where m is the slope and b is the y-intercept. It explains how to write equations given a slope and y-intercept, and demonstrates graphing lines using these equations. The tutorial includes multiple examples, showing how to plot points and draw lines on a graph, emphasizing the importance of understanding slope as rise over run and the y-intercept as the starting point on the y-axis.

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

• The x-intercept

• The slope

• The output

• The y-intercept

In the equation y = 3/4x - 2, what is the y-intercept?

• 3/4

• 4

• 2

• -2

Given a slope of -2 and a y-intercept of 4, what is the equation in slope-intercept form?

• y = -4x + 2

• y = -2x + 4

• y = 2x - 4

• y = 4x - 2

What is the first step in graphing a line using slope-intercept form?

• Graph the x-intercept

• Graph the slope

• Graph the y-intercept

• Graph the origin

If the slope is 1/2 and the y-intercept is 6, where do you start graphing?

• At (1, 2)

• At (0, 6)

• At (6, 0)

• At the origin

How do you graph a line with a slope of 3/4 and a y-intercept of -4?

• Start at (0, 4) and rise 3, run 4

• Start at (0, -4) and rise 3, run 4

• Start at (0, 4) and rise 4, run 3

• Start at (0, -4) and rise 4, run 3

What does a negative slope indicate about the direction of the line?

• It is vertical

• It rises from left to right

• It falls from left to right

• It is horizontal

For the equation y = -2/5x - 3, what is the slope?

• -2/5

• -3

• 2/5

• 3

If the y-intercept is zero, where do you start graphing the line?

• At (1, 1)

• At (0, 0)

• At (1, 0)

• At (0, 1)

What is the equation of a line with a slope of -3 and a y-intercept of 0?

• y = 3x

• y = -3x

• y = 3x + 0

• y = -3x + 0