Understanding Slope-Intercept Form

This video tutorial explains how to determine the equation of a line in slope-intercept form. It covers the basic formula y = mx + b, where m is the slope and b is the y-intercept. Through four examples, the video demonstrates how to find the equation of a line given different sets of information, such as a point and a slope, or two points. It also shows how to graph these lines, emphasizing the importance of understanding the slope and y-intercept. The tutorial concludes with a special case of a horizontal line, highlighting the concept of a zero slope.

What is the slope-intercept form of a line?

• y = mx^2 + b

• y = mx + b

• y = ax^2 + bx + c

• y = a/x + b

In the equation y = mx + b, what does 'b' represent?

• The y-intercept of the line

• The x-intercept of the line

• The slope of the line

• The midpoint of the line

If a line passes through the point (0,2) with a slope of -3/5, what is the equation of the line?

• y = -3/5x + 2

• y = 3/5x + 2

• y = 3/5x - 2

• y = -3/5x - 2

How do you graph a line with a slope of -3/5 from the y-intercept?

• Go up 5 units and right 3 units

• Go down 3 units and right 5 units

• Go down 5 units and left 3 units

• Go up 3 units and left 5 units

What is the y-intercept of a line passing through (4,-1) with a slope of 2?

• 9

• -9

• -1

• 1

How do you find the slope of a line passing through two points?

• Subtract the x-coordinates and divide by the y-coordinates

• Add the x-coordinates and y-coordinates

• Subtract the y-coordinates and divide by the x-coordinates

• Multiply the x-coordinates and y-coordinates

What is the equation of a line with a slope of 2/3 passing through the point (6,3)?

• y = 2/3x - 1

• y = 2/3x + 1

• y = 3/2x - 1

• y = 3/2x + 1

What is the slope of a horizontal line?

• Positive

• Zero

• Negative

• Undefined

If a line passes through the points (-4,-3) and (2,-3), what is its equation?

• y = 3

• x = 3

• y = -3

• x = -3

What form does the equation of a horizontal line take?

• x = mx + b

• y = a constant

• x = a constant

• y = mx + b