Linear Equations and Slope Concepts

This video tutorial reviews key concepts of slope intercept and point slope forms. It covers how to find equations with given slopes and intercepts, derive equations of lines through points, interpret graphs to derive equations, and convert between different forms. The tutorial includes practice problems and solutions to reinforce learning.

What is the general form of the slope-intercept equation?

• y = mx + b

• y = b + mx

• b = mx + y

• x = my + b

If a line has a slope of -1 and a y-intercept of 4, what is its equation?

• y = -x + 4

• y = x - 4

• y = -x - 4

• y = x + 4

Nathan starts with 40 Pokemon cards and adds 10 each week. What is the equation representing this?

• y = 40x + 10

• y = 10x + 40

• y = 10x - 40

• y = 40x - 10

What is the equation of a line that passes through (0, 6) with a slope of 0.5?

• y = 6x - 0.5

• y = 0.5x - 6

• y = 0.5x + 6

• y = 6x + 0.5

How do you find the slope of a line passing through points (4, 5) and (3, -2)?

• (3 - 4)/(-2 - 5)

• (4 - 3)/(5 - (-2))

• (-2 - 5)/(3 - 4)

• (5 - (-2))/(4 - 3)

What is the equation of a line with a slope of zero passing through (2, -7)?

• x = -7

• y = -7

• x = 2

• y = 2

How do you determine the slope from a graph?

• Use the x-intercept

• Count rise over run

• Count run over rise

• Measure the angle

In point-slope form, what does the equation y - 4 = -5(x + 2) represent?

• Slope of -5, point (-2, 4)

• Slope of 5, point (2, -4)

• Slope of -5, point (2, 4)

• Slope of 5, point (-2, -4)

How do you convert y - 3 = -9(x + 1) to slope-intercept form?

• y = 9x + 12

• y = -9x - 6

• y = -9x + 12

• y = 9x - 6

What is the equation of a line with a slope of 2 and a y-intercept of -4?

• y = -2x - 4

• y = 2x + 4

• y = -2x + 4

• y = 2x - 4