Graphing Linear Functions in Algebra 1

This video tutorial focuses on graphing linear functions, specifically using slope-intercept and point-slope forms. It begins with an introduction to the different forms of linear equations and their applications in graphing. The tutorial then provides a step-by-step guide on how to graph equations in slope-intercept form, identifying the slope and y-intercept, and plotting points on a graph. It also covers graphing in point-slope form, addressing the challenges of negative values and demonstrating how to plot points and draw lines accurately. The video emphasizes practice and provides tips for accurate graphing.

What are the two forms of linear equations mentioned in the introduction?

• Slope-Intercept and Standard Form

• Standard Form and Quadratic Form

• Slope-Intercept and Point-Slope Form

• Point-Slope and Standard Form

In the slope-intercept form, what does the 'm' represent?

• The constant term

• The x-intercept

• The slope

• The y-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the y-intercept in the equation y = 2/3x - 4?

• -4

• 4

• -2/3

• 2/3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

When graphing a slope-intercept form equation, what is the first step?

• Draw the line

• Plot the x-intercept

• Identify the y-intercept

• Identify the slope

In point-slope form, what does the equation y - y1 = m(x - x1) represent?

• A quadratic equation

• A horizontal line

• A line passing through the origin

• A line with a given slope and a point

What is the slope in the equation y - 3 = -3(x + 2)?

• -2

• -3

• 3

• 2

Tags

CCSS.8.EE.B.5

In point-slope form, if the equation is y - 3 = -3(x + 2), what is the point (x1, y1)?

• (2, -3)

• (-2, 3)

• (3, -2)

• (-3, 2)

When graphing a point-slope form equation, what is the first step?

• Draw the line

• Identify the y-intercept

• Identify the slope

• Plot the given point

In the equation y - 3 = -3(x + 2), what does the '-3' represent?

• The constant term

• The y-intercept

• The slope

• The x-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What is the final step when graphing any linear equation?

• Identify the slope

• Plot the given point

• Identify the y-intercept

• Draw the line and add arrows