Understanding Slope and Linear Equations

The video tutorial explains how to graph a linear equation in slope-intercept form. It begins by reviewing the slope-intercept form, identifying the slope and y-intercept from the equation y = -2/3x - 4. The tutorial then demonstrates how to graph the line using the slope and y-intercept, adjusting the slope to fit the coordinate plane, and verifying the graph by checking the negative slope. The video emphasizes understanding the concepts of rise over run and the importance of adjusting the slope for accurate graphing.

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

• y = ax + b

• y = a/x + b

• y = ax^2 + bx + c

• y = mx + b

In the equation y = -2/3x - 4, what is the y-intercept?

• 3

• -4

• -2/3

• 2

What does the slope of -2/3 indicate in terms of rise and run?

• Rise -3, Run 2

• Rise 3, Run -2

• Rise -2, Run 3

• Rise 2, Run 3

After plotting the y-intercept, how do you use the slope to find another point?

• Go up 2 units and left 3 units

• Go down 2 units and right 3 units

• Go up 3 units and right 2 units

• Go down 3 units and left 2 units

What should you do if the slope takes you off the coordinate plane?

• Change the slope to a positive value

• Ignore the slope

• Use a different form of the slope

• Start from a different y-intercept

How can the slope -2/3 be rewritten to find another point?

• -3/2

• 2/3

• -2/3

• 2/-3

What does a negative slope indicate about the direction of the line?

• The line goes uphill from left to right

• The line is vertical

• The line goes downhill from left to right

• The line is horizontal

If the slope is 2/-3, how do you move from the y-intercept to find another point?

• Up 3 units, right 2 units

• Down 2 units, right 3 units

• Down 3 units, left 2 units

• Up 2 units, left 3 units

What is verified by the line going downhill from left to right?

• The slope is positive

• The slope is zero

• The slope is negative

• The slope is undefined

Why might you need to write the slope in a different form when graphing?

• To make the line steeper

• To make the line horizontal

• To find a second point on the graph

• To change the y-intercept