Exploring Equations of Lines in the Coordinate Plane

What is the main objective of this video?

• To solve complex integrals

• To review Algebra 1 concepts related to lines

• To learn about quadratic equations

• To understand the properties of circles

How is the slope of a line defined?

• As the product of the x and y coordinates

• As the sum of the x and y coordinates

• As the ratio of vertical change to horizontal change

• As the difference between the x and y coordinates

What is the slope of a line that goes down from left to right?

• Zero

• Negative

• Undefined

• Positive

Given two points (2, 3) and (5, 7), what is the slope of the line passing through them?

• 2

• 4

• 1

• 3

What is the slope of a horizontal line?

• Positive

• Negative

• Undefined

• Zero

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

• (x1 - x2) / (y1 - y2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

• (y1 - y2) / (x1 - x2)

What is the slope-intercept form of a line with a slope of -2 and a y-intercept of 5?

• y = -2x - 5

• y = 2x - 5

• y = 2x + 5

• y = -2x + 5

What is the y-intercept of the line y = 3x + 4?

• -4

• 3

• -3

• 4

If a line has a slope of 3 and passes through the point (1, 2), what is the equation of the line in point-slope form?

• y - 1 = 3(x - 2)

• y + 2 = 3(x + 1)

• y - 2 = 3(x - 1)

• y + 1 = 3(x + 2)

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

• The y-intercept

• The x-intercept

• The slope

• The midpoint