Graphing Linear Functions: Slope-Intercept and Standard Form

Brett introduces graphing linear equations, focusing on slope-intercept and standard forms. He demonstrates graphing y = 1/2x + 5 using slope-intercept form, explaining the importance of the y-intercept and slope. Brett then covers converting equations to slope-intercept form for easier graphing, emphasizing algebraic manipulation. He concludes with graphing from standard form, highlighting arithmetic skills. The tutorial ends with an invitation to join the Math Hacks community.

Why is it important to understand linear equations?

• They are fundamental concepts in mathematics.

• They are used in advanced calculus.

• They are only used in geometry.

• They are not important.

What is the y-intercept in the equation y = 1/2x + 5?

• 1/2

• 5

• x

• 1

What does the slope represent in the equation y = 1/2x + 5?

• The point where the line crosses the x-axis.

• The point where the line crosses the y-axis.

• The change in y over the change in x.

• The constant term.

How do you find the next point on the line after plotting the y-intercept for y = 1/2x + 5?

• Go down 2 and left 1.

• Go up 2 and right 1.

• Go down 1 and left 2.

• Go up 1 and right 2.

What is the first step in converting a standard form equation to slope-intercept form?

• Isolate the x variable.

• Isolate the y variable.

• Subtract the constant term.

• Multiply all terms by 2.

What is the slope of the equation after converting 4y = -3x + 12 to slope-intercept form?

• 4/3

• -4/3

• 3/4

• -3/4

What is the y-intercept of the equation after converting 4y = -3x + 12 to slope-intercept form?

• 12

• -3

• 3

• -12

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

• -3/2

• -2/3

• 2/3

• 3/2

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

• -3

• 3

• -2

• 2

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