Writing Equations of Lines in Slope-Intercept Form

The video tutorial explains how to write equations of lines using the slope and a point. It covers the slope-intercept form and point-slope form, providing examples for each. The tutorial also addresses how to handle fractions in calculations and explains the characteristics of vertical and horizontal lines, including how to identify lines with undefined slopes.

What are the two essential components needed to write the equation of a line?

• Slope and x-intercept

• Slope and a point on the line

• Two points on the line

• Slope and y-intercept

In the slope-intercept form equation y = mx + b, what does 'm' represent?

• A point on the line

• The y-intercept

• The x-intercept

• The slope

If a line has a slope of 1/2 and passes through the point (-4, 7), what is the value of 'b' in the equation y = mx + b?

• 7

• 9

• 2

• 4

What is the point-slope form of a line's equation?

• y = mx + b

• y = m(x - x1) + y1

• y = m(x - b)

• y - y1 = m(x - x1)

In point-slope form, which variables do you substitute with the given point's coordinates?

• m and x

• x and y

• m and b

• y1 and x1

When using slope-intercept form, what should you do after finding the value of 'b'?

• Recalculate the slope

• Substitute 'b' back into the equation

• Find another point on the line

• Check if the slope is correct

If a line has a slope of -3/4 and passes through the point (7, -2), what is the equation of the line in slope-intercept form?

• y = -3/4x + 13/4

• y = 3/4x - 13/4

• y = -3/4x - 13/4

• y = 3/4x + 13/4

What is the equation of a vertical line passing through the point (-3, 3)?

• y = 3

• y = -3

• x = 3

• x = -3

What type of line has an undefined slope?

• Horizontal line

• Vertical line

• Diagonal line

• None of the above

What is the equation of a horizontal line passing through the point (4, -2)?

• x = -2

• y = -2

• x = 4

• y = 4