Finding Slope and Y-Intercept from Graphs

The video tutorial introduces the concept of writing equations in slope-intercept form, y = mx + b. It explains how to identify the slope and y-intercept from given data or graphs and provides examples to illustrate the process. The lesson includes both basic and advanced examples, emphasizing the importance of finding two points on a graph to determine the slope. The tutorial concludes with instructions for an assignment where students must find the slope and y-intercept for six graphs and submit their work.

What is the main topic of this lesson?

• Factoring polynomials

• Solving quadratic equations

• Graphing linear inequalities

• Writing equations in slope-intercept form

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

• y = a(x - h)^2 + k

• y = ax^2 + bx + c

• y = kx + m

• y = mx + b

If the slope is -2 and the y-intercept is 5, what is the equation in slope-intercept form?

• y = -2x + 5

• y = -2x - 5

• y = 2x - 5

• y = 2x + 5

Given a slope of 3/4 and a y-intercept of -7, what is the correct equation?

• y = 3/4x - 7

• y = 3/4x + 7

• y = -3/4x + 7

• y = 4/3x - 7

What is the first step in finding the slope from a graph?

• Draw a horizontal line

• Find the y-intercept

• Calculate the x-intercept

• Identify two points on the graph

If you go up 3 units and right 2 units on a graph, what is the slope?

• 3/2

• 2/3

• -2/3

• -3/2

How do you determine the y-intercept from a graph?

• Calculate the slope first

• Identify the highest point on the graph

• Find where the line crosses the x-axis

• Find where the line crosses the y-axis

If a line goes up 2 units and right 1 unit, and touches the y-axis at 3, what is the equation?

• y = -2x + 3

• y = 2x + 3

• y = 2x - 3

• y = -2x - 3

How many graphs are you required to analyze for the assignment?

• 4

• 5

• 6

• 7

What should you do if you can't print the assignment?

• Email the teacher

• Write the answers on a separate sheet of paper

• Skip the assignment

• Ask a friend for help