Exploring Standard Form for Linear Equations

The video tutorial explores different ways to write linear equations, focusing on slope-intercept, point-slope, and standard forms. It explains how to graph equations using these forms, highlighting the ease of finding intercepts in standard form. The tutorial also compares the forms, discussing their strengths and weaknesses, and demonstrates how to convert between them to find slopes and intercepts.

What is the general form of a linear equation in slope-intercept form?

• Y = MX + B

• AX + BY = C

• Y - Y1 = M(X - X1)

• X = MY + B

In the slope-intercept form Y = MX + B, what does the constant M represent?

• The y-intercept

• The slope

• The constant term

• The x-intercept

How can you express a linear equation if you know a point (A, B) on the line and the slope M?

• AX + BY = C

• Y = MX + B

• Y - B = M(X - A)

• X = MY + B

What is the general form of a linear equation in standard form?

• X = MY + B

• Y = MX + B

• AX + BY = C

• Y - Y1 = M(X - X1)

What is one advantage of using the standard form of a linear equation?

• It makes it easy to graph the equation.

• It makes it easy to find both x and y-intercepts.

• It makes it easy to find the y-intercept.

• It makes it easy to find the slope.

When graphing the equation 9X + 16Y = 72, what is the x-intercept?

• 8

• 72

• 4.5

• 0

When graphing the equation 9X + 16Y = 72, what is the y-intercept?

• 72

• 0

• 4.5

• 8

Which form of a linear equation makes it easiest to identify the slope directly?

• Point-slope form

• None of the above

• Standard form

• Slope-intercept form

How can you convert the standard form 9X + 16Y = 72 to slope-intercept form?

• Add 9X to both sides and then divide by 16

• Subtract 16Y from both sides and then divide by 9

• Subtract 9X from both sides and then divide by 16

• Divide both sides by 9

What is the slope of the line represented by the equation 9X + 16Y = 72?

• 16/9

• -16/9

• 9/16

• -9/16