Graph a linear equation by first rewriting it from standard form to slope intercept form

The video tutorial covers graphing using slope-intercept form, represented by y=mx+b, and explains its advantages over using a table of values. It introduces standard form equations, Ax+By=C, and demonstrates how to convert them into slope-intercept form. The tutorial includes a step-by-step guide to solving and graphing these equations, emphasizing the importance of identifying the slope and y-intercept. The session concludes with instructions for practice problems to reinforce the concepts learned.

What is the primary advantage of using the slope-intercept form for graphing?

• It requires more than two points to graph.

• It is the only form that can be graphed.

• It allows easy identification of the y-intercept and slope.

• It requires a table of values.

In the equation y = mx + b, what does 'b' represent?

• The x-intercept

• The y-intercept

• The slope of the line

• The midpoint of the line

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

• Divide all terms by the coefficient of x

• Subtract the x-term from both sides

• Add the x-term to both sides

• Multiply all terms by the coefficient of y

After converting to slope-intercept form, what is the slope of the equation y = 3/4x - 6?

• 4/3

• -6

• 3/4

• 3

When graphing using the slope, what does the term 'rise over run' refer to?

• The distance from the origin

• The total length of the line

• The change in y-coordinates over x-coordinates

• The change in x-coordinates over y-coordinates