Finding the Equation of a Line from a Graph

This video tutorial explains how to find the equation of a line from a graph using the slope-intercept form. It covers identifying y-intercepts, calculating slope, and writing the equation of a line. Additionally, it demonstrates how to convert equations between slope-intercept, standard, and point-slope forms, providing examples for each step.

What is the formula for the slope-intercept form of a linear equation?

• Y = MX + B

• Y = AX + C

• Y = BX + D

• Y = CX + E

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

• The slope

• The y-intercept

• The x-intercept

• The constant term

For the red graph, what is the y-intercept?

• 0

• -2

• 2

• 3

What is the slope of the red graph?

• 3/2

• -3/2

• 2/3

• -2/3

What is the equation of the red graph?

• Y = 3/2X + 3

• Y = 2/3X + 2

• Y = 3/2X + 2

• Y = 2/3X + 3

For the blue graph, what is the slope?

• 4/3

• -4/3

• 3/4

• -3/4

What is the equation of the blue graph?

• Y = -3/4X + 2

• Y = -3/4X + 3

• Y = 3/4X + 2

• Y = 3/4X + 3

For the green graph, what is the slope?

• 2/5

• 5/2

• -2/5

• -5/2

What is the equation of the green graph?

• Y = 2/5X + 2

• Y = 5/2X - 2

• Y = 2/5X - 2

• Y = 5/2X + 2

How can you convert an equation from slope-intercept form to standard form?

• Multiply by the slope

• Add the y-intercept

• Eliminate fractions and rearrange terms

• Divide by the slope