Writing Equations in Slope-Intercept Form

The video tutorial introduces the concept of slope-intercept form, contrasting it with direct variation. It covers key vocabulary, explains how to identify slope and y-intercept from equations, and demonstrates writing equations from graphs and two points. The tutorial provides step-by-step instructions for each process, ensuring a comprehensive understanding of the topic.

What is the main difference between direct variation and slope-intercept form?

• Direct variation starts at (0,0) while slope-intercept form does not.

• Direct variation has a y-intercept of 1.

• Slope-intercept form does not include a y-intercept.

• Slope-intercept form always has a positive slope.

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

• The x-intercept

• The slope

• The y-intercept

• The constant term

In the equation y = 5x - 2, what is the y-intercept?

• 5

• 2

• 0

• -2

Given the slope m = -4/5 and y-intercept b = 7, what is the equation in slope-intercept form?

• y = -4/5x + 7

• y = 4/5x + 7

• y = 4/5x - 7

• y = -4/5x - 7

When given a graph, what is the first step to write the equation in slope-intercept form?

• Find the slope

• Find the x-intercept

• Find the y-intercept

• Find the constant term

If a graph crosses the y-axis at (0, -2) and has a slope of 2, what is the equation?

• y = -2x - 2

• y = 2x + 2

• y = -2x + 2

• y = 2x - 2

What is the formula to find the slope (m) between two points (x1, y1) and (x2, y2)?

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

Given points (2, 1) and (5, -8), what is the slope?

• -9

• 9

• -3

• 3

After finding the slope, what is the next step to find the y-intercept when given two points?

• Graph the points

• Find the x-intercept

• Plug a point and the slope into y = mx + b

• Use the slope to find another point

What is the final step in writing an equation in slope-intercept form given two points?

• Check the slope

• Graph the equation

• Rewrite the equation as y = mx + b

• Find the x-intercept