Graphing Lines in Slope-Intercept Form

The video tutorial explains how to graph lines using the slope-intercept form. It begins with a zip line problem, demonstrating how to convert equations into slope-intercept form and graph them. The tutorial addresses common mistakes in solving linear equations and provides step-by-step instructions for graphing lines. The final section revisits the zip line problem, solving and graphing the equation to understand Jake's starting point and rate of change.

What is the y-intercept of the line represented by the equation y = 4x - 2?

• -2

• 0

• 4

• 2

If a line has a slope of 4, what does this indicate about the line's direction?

• The line goes down 4 units for every 1 unit it moves right.

• The line goes up 4 units for every 1 unit it moves right.

• The line goes up 1 unit for every 4 units it moves right.

• The line goes down 1 unit for every 4 units it moves right.

What is the correct slope-intercept form of the equation 4x + 4y = 36?

• y = x + 9

• y = -x + 9

• y = -4x + 9

• y = 4x - 9

In the equation 2x + 3y = 90, what is the slope when converted to slope-intercept form?

• 3/2

• 2/3

• -3/2

• -2/3

What does a slope of -2/3 indicate about Jake's movement on the zip line?

• He moves down 3 feet for every 2 feet horizontally.

• He moves up 3 feet for every 2 feet horizontally.

• He moves down 2 feet for every 3 feet horizontally.

• He moves up 2 feet for every 3 feet horizontally.