Converting Linear Equations: Standard to Slope-Intercept Form

The video tutorial explains how to convert a linear equation from standard form to slope-intercept form. It demonstrates the process of isolating Y by moving the X term and dividing by the coefficient of Y. The tutorial identifies the slope and Y-intercept, explains their significance, and shows how to graph the line using these values. It concludes with a brief mention of a more complex example in the next video.

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

• Divide everything by the coefficient of y

• Move the x term to the right side of the equation

• Identify the slope directly

• Plot the graph

What is the standard form of a linear equation?

• y = mx + b

• ax + by = c

• y = bx + m

• x = my + b

What is the purpose of converting an equation into slope-intercept form?

• To find its standard form

• To make it easier to graph

• To eliminate the y variable

• To complicate the equation

After rearranging the equation 2x + 3y = 6, what is the slope-intercept form?

• y = 2x + 3

• y = -2/3x + 2

• y = x + 3

• y = 3x + 2

What does the slope of -2/3 in the equation y = -2/3x + 2 indicate?

• Move up 2 and left 3

• Move down 2 and right 3

• Move down 2 and left 3

• Move up 2 and right 3

What are the coordinates of the y-intercept in the equation y = -2/3x + 2?

• (0, 2)

• (2, 0)

• (0, -2)

• (-2, 0)

What does the y-intercept represent in a graph?

• The point where the line crosses the y-axis

• The slope of the line

• The point where the line crosses the x-axis

• The coefficient of x

How is the slope of a line interpreted in terms of rise over run?

• Horizontal change over vertical change

• Change in y over change in x

• Vertical change over horizontal change

• Change in x over change in y

How do you determine the second point on the line for graphing?

• By using the slope to move from the y-intercept

• By setting x to 0

• By setting y to 0

• Randomly choosing a point

What is the second point used in graphing the line y = -2/3x + 2?

• (2, -2)

• (3, 0)

• (-3, 0)

• (0, 3)