Writing Linear Equations in Point-Slope Form

This video tutorial teaches how to write equations in point-slope form. It explains the formula y - y1 = m(x - x1) and demonstrates how to use it with examples. The video covers writing equations with given slopes and points, handling negative values, and finding slopes from two points. It emphasizes the flexibility of point-slope form in choosing different points to write the same line equation.

What are the two essential components needed to write an equation in point-slope form?

• A point and a slope

• Two points

• The x-intercept and y-intercept

• A slope and the y-intercept

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

• The x-intercept

• The midpoint

• The slope

• The y-intercept

Given a slope of 1/2 and a point (1, 5), what is the equation in point-slope form?

• y + 1 = 1/2(x + 5)

• y - 1 = 1/2(x - 5)

• y + 5 = 1/2(x + 1)

• y - 5 = 1/2(x - 1)

If a line has a slope of -5 and passes through the point (3, -2), what is the equation in point-slope form?

• y + 2 = 5(x + 3)

• y + 2 = -5(x - 3)

• y - 2 = -5(x + 3)

• y - 2 = 5(x - 3)

When plugging in a negative value for y1 in the point-slope form equation, what happens to the sign?

• It becomes zero

• It becomes positive

• It remains negative

• It becomes undefined

How do you find the slope between two points (2, 1) and (-3, 3)?

• (3 - 1) / (-3 - 2)

• (1 + 3) / (2 - 3)

• (3 + 1) / (-3 + 2)

• (1 - 3) / (2 + 3)

What is the slope between the points (2, 1) and (-3, 3)?

• 2/5

• -2/5

• 5/2

• -5/2

Using the point (2, 1) and a slope of -2/5, what is the equation in point-slope form?

• y + 2 = -2/5(x + 1)

• y + 1 = -2/5(x + 2)

• y - 1 = -2/5(x - 2)

• y - 2 = -2/5(x - 1)

If you use the point (-3, 3) and a slope of -2/5, what is the equation in point-slope form?

• y + 3 = 2/5(x - 3)

• y - 3 = 2/5(x + 3)

• y + 3 = -2/5(x - 3)

• y - 3 = -2/5(x + 3)

What is the equation in point-slope form for a line passing through (5, -5) and (10, -4)?

• y + 5 = -1/5(x - 5)

• y - 4 = -1/5(x + 10)

• y - 5 = -1/5(x + 5)

• y + 4 = -1/5(x - 10)