Equations of Lines and Slopes

This video tutorial covers the concepts of slope intercept form and point slope form, providing examples and practice problems. It explains how to interpret graphs to find slope and intercepts, and how to convert between different forms of linear equations. The tutorial also includes practical applications and problem-solving strategies to help students understand and apply these mathematical concepts effectively.

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

• y = mx + b

• y = b + mx

• x = my + b

• b = mx + y

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?

• y = 10x + 40

• y = 40x + 10

• y = 40x - 10

• y = 10x - 40

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

• y = 0.5x + 6

• y = 6x + 0.5

• y = 0.5x - 6

• y = 6x - 0.5

Find the equation of a line through (4, 5) and (3, -2).

• y = -x - 1

• y = x - 1

• y = x + 1

• y = -x + 1

What is the equation of a line through (2, -7) with a slope of 0?

• y = 0

• y = -7

• y = 2

• y = 7

Determine the equation of a line from a graph with a slope of 2/3 and y-intercept of 1.

• y = 2/3x + 1

• y = 3/2x + 1

• y = 3/2x - 1

• y = 2/3x - 1

Convert y - 4 = -5(x + 2) to slope-intercept form.

• y = 5x - 6

• y = 5x + 6

• y = -5x - 6

• y = -5x + 6

Rewrite 9x + y = 12 in standard form.

• 9y + x = 12

• y = 9x + 12

• 9x + y = 12

• x + 9y = 12

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

• y = -2x - 4

• y = 2x + 4

• y = -2x + 4

• y = 2x - 4