Writing Linear Equations in Point-Slope Form

The video tutorial explains the concept of point slope form, a method for writing linear equations. It provides examples of how to use point slope form when given a point and a slope, and demonstrates converting it to slope intercept form for easier graphing. The tutorial also covers finding the slope from two points and using it in point slope form. The key takeaway is the flexibility of point slope form in writing equations and its conversion to slope intercept form for graphing.

What is the general formula for point slope form?

• y - y1 = m(x - x1)

• y = mx + b

• y = m(x + x1)

• y + y1 = m(x - x1)

In the formula y - y1 = m(x - x1), what does 'm' represent?

• The y-intercept

• The slope

• The x-intercept

• The constant term

What is the first step in converting point slope form to slope intercept form?

• Add y1 to both sides

• Multiply both sides by x

• Subtract x1 from both sides

• Distribute the slope 'm'

In the example y - 8 = 12(x + 6), what is the slope?

• -6

• 8

• 12

• 6

What is the final slope intercept form of the equation y - 4 = 9(x - 3)?

• y = 9x + 31

• y = -9x + 31

• y = 9x - 31

• y = -9x - 31

When given two points, what is the formula to find the slope?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

Given points (4, 8) and (8, 7), what is the slope?

• -4

• 1/4

• -1/4

• 4

What is the point slope form of the equation with slope 1/4 passing through (8, 8)?

• y - 8 = 1/4(x - 8)

• y + 8 = 1/4(x - 8)

• y + 8 = 4(x - 8)

• y - 8 = 4(x - 8)

What is the slope of the line passing through points (7, 4) and (-6, -5)?

• -1

• 3

• -3

• 1

What is the slope intercept form of the equation y - 7 = -3(x + 6)?

• y = 3x - 1

• y = -3x + 1

• y = -3x - 1

• y = 3x + 1