Equations of Lines in the Coordinate Plane

This video reviews key algebra concepts, focusing on slope and slope-intercept form. It covers how to calculate slope, graph lines, and write equations from given data. The instructor provides examples and encourages students to review additional resources if needed.

What is the slope of a line passing through the points (4, 6) and (-3, 4)?

• -7/2

• 2/7

• -2/7

• 7/2

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

• Slope

• X-intercept

• Coefficient of x

• Y-intercept

If the slope (m) is positive, in which direction does the line go?

• Horizontal

• Up and to the right

• Down and to the right

• Vertical

What type of line is represented by the equation x = 5?

• No line

• Horizontal line

• Vertical line

• Diagonal line

How do you graph the line y = -2x + 5?

• Start at (0, 5), go up 2 units and right 1 unit

• Start at (0, -2), go down 5 units and right 1 unit

• Start at (0, -2), go up 5 units and right 1 unit

• Start at (0, 5), go down 2 units and right 1 unit

What is the equation of a line with slope 5 and y-intercept -3?

• y = -5x + 3

• y = 3x - 5

• y = -3x + 5

• y = 5x - 3

Given the points (6, -2) and (-3, 4), what is the slope of the line?

• -7/2

• 7/2

• 2/7

• -2/7

If a line has a slope of -1/3 and y-intercept of -6, what is its equation?

• y = -3x - 6

• y = 1/3x - 6

• y = 3x - 6

• y = -1/3x - 6

How do you find the y-intercept if you have the slope and a point on the line?

• Use the point-slope form and solve for b

• Use the quadratic formula

• Use the distance formula

• Use the midpoint formula

What is the equation of a line with slope -3/4 passing through the point (4, 1)?

• y = -3/4x + 4

• y = -3/4x + 7

• y = 3/4x + 7

• y = 3/4x - 4