Understanding Slope-Intercept Form

The video tutorial explains how to determine the equation of a line using the slope-intercept form. It covers identifying the slope and y-intercept from given information or a graph, and converting equations from standard form to slope-intercept form. The tutorial includes examples to illustrate these concepts, emphasizing the importance of understanding the slope as the ratio of vertical to horizontal change and the y-intercept as the point where the line crosses the y-axis.

What is the slope-intercept form of a line?

• b = mx + y

• x = my + b

• y = b + mx

• y = mx + b

If a line has a slope of 3/4 and a y-intercept of -6, what is its equation?

• y = -3/4x - 6

• y = -3/4x + 6

• y = 3/4x + 6

• y = 3/4x - 6

How do you express a y-intercept as an ordered pair?

• (m, 0)

• (0, m)

• (b, 0)

• (0, b)

What is the slope of a line if the rise is -2 and the run is 5?

• -2/5

• 2/5

• -5/2

• 5/2

If a line intersects the y-axis at (0, 3), what is the y-intercept?

• 5

• 0

• -3

• 3

What is the equation of a line with a slope of -2/5 and a y-intercept of 3?

• y = -2/5x + 3

• y = 2/5x - 3

• y = -5/2x + 3

• y = 5/2x - 3

How do you isolate the y term in the equation 4x - 6y = 12?

• Add 4x to both sides

• Subtract 4x from both sides

• Divide both sides by 4

• Multiply both sides by 6

What is the slope of the line represented by the equation y = 2/3x - 2?

• -3/2

• -2/3

• 2/3

• 3/2

What is the y-intercept of the line y = 2/3x - 2?

• 3

• 0

• 2

• -2

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

• Go down 3 units and left 2 units

• Go down 2 units and left 3 units

• Go up 3 units and right 2 units

• Go up 2 units and right 3 units