Converting Linear Forms: Point-Slope to Slope-Intercept and Standard

This video tutorial explains how to transform linear equations from point-slope form to slope-intercept and standard forms. It provides a step-by-step example, demonstrating the conversion process and how to find intercepts and slopes using shortcuts. The video concludes by summarizing the transformations and verifying the consistency of the slope across different forms.

What is the general form of a point-slope equation?

• Y = MX + B

• AX + BY = C

• Y = M(X - X1) + B

• Y - Y1 = M(X - X1)

In the example Y - 3 = 1/2(X - 4), what is the slope?

• 4

• 2

• 1/4

• 1/2

What is the y-intercept of the equation Y = 1/2X + 1?

• (0, 2)

• (2, 0)

• (0, 1)

• (1, 0)

How do you convert a slope-intercept form to standard form?

• Divide by 2

• Add X to both sides

• Subtract X from both sides

• Multiply by 2

What is the standard form of the equation Y = 1/2X + 1 after converting?

• 2X - Y = -2

• 2X + Y = 2

• X - 2Y = -2

• X + 2Y = 2

What is the x-intercept of the standard form equation X - 2Y = -2?

• (0, 2)

• (0, -2)

• (-2, 0)

• (2, 0)

What is the y-intercept of the standard form equation X - 2Y = -2?

• (-1, 0)

• (0, -1)

• (0, 1)

• (1, 0)

What is the slope of the standard form equation X - 2Y = -2?

• -2

• 2

• -1/2

• 1/2

What is the shortcut formula for finding the x-intercept from standard form?

• -B/A

• C/B

• C/A

• -A/B

What new piece of information was gained in the final verification?

• X-intercept

• None

• Y-intercept

• Slope