Writing Equations in Slope-Intercept Form

This video tutorial covers writing equations in slope-intercept form, starting with basic concepts and vocabulary. It explains how to write equations using given slope and intercept, calculate slope from graphs, and determine slope and intercept from two points. The tutorial concludes with a real-life application of linear models, using renewable energy data to illustrate the concepts. The video emphasizes understanding the y=mx+b format and provides strategies for solving related problems.

What is the slope-intercept form of an equation if the slope is -3 and the y-intercept is 1/2?

• y = -3x - 1/2

• y = -3x + 1/2

• y = 3x - 1/2

• y = 3x + 1/2

If the slope is 0 and the y-intercept is -2, what is the equation in slope-intercept form?

• y = -2

• y = -2x + 0

• y = 0x + 2

• y = 2x - 2

How do you calculate the slope from a graph?

• Difference between vertical and horizontal changes

• Sum of vertical and horizontal changes

• Horizontal change divided by vertical change

• Vertical change divided by horizontal change

What is the slope of a line that rises 6 units and runs 4 units?

• 4/6

• 2/3

• 6/4

• 3/2

Given the points (-3, 5) and (0, -1), what is the slope?

• -2

• 1

• 2

• -1

What is the y-intercept of the line passing through the points (0, -1) and (-3, 5)?

• 0

• -1

• -3

• 5

If f(0) = 10 and f(6) = 34, what are the corresponding coordinate pairs?

• (0, 10) and (6, 34)

• (10, 0) and (34, 6)

• (0, 34) and (6, 10)

• (10, 6) and (34, 0)

What is the slope of the line given f(0) = 10 and f(6) = 34?

• 4

• 6

• 10

• 24

In a real-life example, if the number of megawatt hours increased from 105 million in 2007 to 219 million in 2012, what is the slope?

• 22.8

• 114

• 5

• 105

What is the y-intercept in the real-life example where the number of megawatt hours was 105 million in 2007?

• 0

• 2007

• 219

• 105